Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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 17 to 10 computations (41.2% saved)

sample844.0ms (10.9%)

Memory

51.0MiB live, 937.7MiB allocated

Samples

424.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 237.0ms

ival-mult: 118.0ms (49.9% of total)

ival-add: 110.0ms (46.5% of total)

ival-true: 6.0ms (2.5% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain105.0ms (1.4%)

Memory

-32.7MiB live, 167.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
6	-	-	`(+.f64 (.f64 x y) (.f64 z z))`
3	-	-	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
3	-	-	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`
0	-	-	`y`
0	-	-	`(*.f64 z z)`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 z z))`	nan-rescue	6	0
↳	`(*.f64 x y)`	overflow	28
↳	`(*.f64 z z)`	overflow	58
`+.f64`	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`	nan-rescue	3	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	overflow	77
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	77
↳	`(*.f64 x y)`	overflow	28
↳	`(*.f64 z z)`	overflow	116
↳	`(*.f64 z z)`	overflow	58
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	3	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	77
↳	`(*.f64 x y)`	overflow	28
↳	`(*.f64 z z)`	overflow	58
↳	`(*.f64 z z)`	overflow	58

Confusion

	Predicted +	Predicted -
+	6	0
-	0	250

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	6	0	0
-	0	0	250

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	250
1	3
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 103 to 28 computations (72.8% saved)

Precisions

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

ival-mult: 7.0ms (51.1% of total)

ival-add: 6.0ms (43.8% of total)

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

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

preprocess78.0ms (1%)

Memory

-13.2MiB live, 25.2MiB allocated

Algorithm

1×	egg-herbie

Rules

726×	`unsub-neg`
312×	`sub-neg`
286×	`associate-+l-`
256×	`cancel-sign-sub`
210×	`distribute-lft-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	142
1	104	120
2	235	82
3	602	81
4	1131	81
5	1497	81
6	2068	81
7	2586	81
8	2644	81
9	2644	81
0	8	15
0	13	15
1	20	13
2	30	9
3	42	9
4	50	9
5	53	9
0	53	8

Stop Event

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

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))

Symmetry

(abs z)

(sort x y)

Compiler

Compiled 15 to 8 computations (46.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify5.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z z)
cost-diff	0	(*.f64 x y)
cost-diff	128	(+.f64 (.f64 x y) (.f64 z z))
cost-diff	6336	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Rules

58×	`lower-fma.f64`
58×	`lower-fma.f32`
36×	`lower-+.f32`
30×	`lower-+.f64`
30×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	42
0	13	42
1	20	38
2	30	34
3	42	34
4	50	34
5	53	34
0	53	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(fma.f64 y x (hypot.f64 z z))
(+.f64 (.f64 x y) (.f64 z z))
(fma.f64 z z (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 z z)
z

localize19.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.7617125574906174	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.8242125574906174	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	1.3554625574906176	(+.f64 (.f64 x y) (.f64 z z))

Samples

13.0ms

256×

valid

Compiler

Compiled 44 to 10 computations (77.3% saved)

Precisions

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

ival-add: 3.0ms (46% of total)

ival-mult: 3.0ms (46% of total)

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

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

series57.0ms (0.7%)

Memory

-22.3MiB live, 15.8MiB allocated

Counts

5 → 144

Calls

Call 1

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

Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (* 2 (pow z 2)) (taylor inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (* 2 (pow z 2)) (taylor -inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* 2 (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow z 2) y))) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow z 2) y))) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow z 2) y))) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ x (* 2 (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ x (* 2 (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ x (* 2 (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* 2 (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (* 2 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (* 2 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (* 2 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation:binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
48.0ms	y	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y) (* z z) (+ (+ (* x y) (* z z)) (* z z)))
1.0ms	x	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y) (* z z) (+ (+ (* x y) (* z z)) (* z z)))
1.0ms	y	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y) (* z z) (+ (+ (* x y) (* z z)) (* z z)))
1.0ms	z	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y) (* z z) (+ (+ (* x y) (* z z)) (* z z)))
1.0ms	z	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y) (* z z) (+ (+ (* x y) (* z z)) (* z z)))

simplify301.0ms (3.9%)

Memory

35.7MiB live, 183.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 096×	`lower-fma.f64`
8 096×	`lower-fma.f32`
3 860×	`lower-*.f64`
3 860×	`lower-*.f32`
940×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	880
1	244	880
2	750	880
3	2132	880
4	5893	880
0	8201	799

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* x y)
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* x y)
(* x y)
(* x y)
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* x y)
(* x y)
(* x y)
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))

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

rewrite521.0ms (6.7%)

Memory

-3.4MiB live, 235.6MiB allocated

Rules

10 458×	`lower-fma.f64`
10 458×	`lower-fma.f32`
4 638×	`lower-*.f32`
4 634×	`lower-*.f64`
3 250×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	39
0	13	39
1	55	35
2	517	29
3	7580	29
0	8184	26

Stop Event

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

Counts

5 → 330

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 z z (.f64 y x)) z) (neg.f64 z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 z z (*.f64 y x)) z) (neg.f64 z))))
(.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (neg.f64 (fma.f64 z z (.f64 y x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 (fma.f64 z z (.f64 y x)) z) (neg.f64 z)) (-.f64 (.f64 (.f64 (fma.f64 z z (.f64 y x)) z) (neg.f64 z)) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 3 binary64) (.f64 z z) (*.f64 y x)))
(.f64 (-.f64 (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 z z))))
(.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z (.f64 y x)))))
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (*.f64 y x)))
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(fma.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 z z) (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 y x #s(literal 0 binary64)))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 2 binary64)) (.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 y x #s(literal 0 binary64)))))
(fma.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)) (.f64 z z))
(fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 z z) (*.f64 y x))
(fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) z) (.f64 #s(literal 2 binary64) z) (*.f64 y x))
(fma.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 y x))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (fma.f64 z z (*.f64 y x)))
(fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (*.f64 y x))
(fma.f64 (.f64 #s(literal 2 binary64) z) z (.f64 y x))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) z) #s(literal 3 binary64)) (.f64 y x))
(fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 y x))) (.f64 z z))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (fma.f64 (neg.f64 z) z (.f64 y x)) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 z z))
(fma.f64 (pow.f64 (fma.f64 (.f64 y x) (fma.f64 (neg.f64 z) z (.f64 y x)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (hypot.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3/2 binary64))) (.f64 z z))
(fma.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 y x)) (.f64 z z))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (.f64 y x))
(fma.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 y x)))) (*.f64 z z))
(fma.f64 (neg.f64 (hypot.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y x) (fma.f64 (neg.f64 z) z (.f64 y x)) (pow.f64 z #s(literal 4 binary64))))) (.f64 z z))
(fma.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 y x))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 y x))
(fma.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 y x #s(literal 0 binary64)))))
(fma.f64 (fma.f64 (.f64 y x) (fma.f64 (neg.f64 z) z (.f64 y x)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (fma.f64 z z (.f64 y x)) (fma.f64 (.f64 y x) (fma.f64 (neg.f64 z) z (.f64 y x)) (pow.f64 z #s(literal 4 binary64)))) (.f64 z z))
(fma.f64 (fma.f64 (.f64 y x) (fma.f64 (neg.f64 z) z (.f64 y x)) (pow.f64 z #s(literal 4 binary64))) (.f64 (fma.f64 z z (.f64 y x)) (pow.f64 (fma.f64 (.f64 y x) (fma.f64 (neg.f64 z) z (.f64 y x)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 z z))
(fma.f64 (hypot.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (.f64 y x) (fma.f64 (neg.f64 z) z (.f64 y x)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 z z))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 z z) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 y x))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 y x))
(fma.f64 (fma.f64 z z (.f64 y x)) (/.f64 (fma.f64 (neg.f64 z) z (.f64 y x)) (fma.f64 (neg.f64 z) z (.f64 y x))) (.f64 z z))
(fma.f64 (fma.f64 z z (.f64 y x)) (/.f64 (fma.f64 z z (.f64 y x)) (fma.f64 y x #s(literal 0 binary64))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 y x #s(literal 0 binary64)))))
(fma.f64 (fma.f64 z z (.f64 y x)) (.f64 (fma.f64 (neg.f64 z) z (.f64 y x)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 y x)) #s(literal -1 binary64))) (*.f64 z z))
(fma.f64 (.f64 z z) (.f64 (.f64 #s(literal 2 binary64) z) (.f64 #s(literal 2 binary64) z)) (*.f64 y x))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.f64 y x))
(fma.f64 z (.f64 (.f64 #s(literal 2 binary64) z) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 y x))
(fma.f64 z (.f64 #s(literal 2 binary64) z) (.f64 y x))
(fma.f64 z z (fma.f64 z z (*.f64 y x)))
(fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(-.f64 (fma.f64 z z (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (neg.f64 y) x)) (/.f64 (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 2 binary64)) (*.f64 (neg.f64 y) x)))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (*.f64 y x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 y x #s(literal 0 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 y x #s(literal 0 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) (.f64 z z)))
(+.f64 (/.f64 (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 y x #s(literal 0 binary64))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 y x #s(literal 0 binary64)))))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 y x))
(+.f64 (fma.f64 z z (.f64 y x)) (.f64 z z))
(+.f64 (.f64 z z) (fma.f64 z z (.f64 y x)))
(+.f64 (*.f64 y x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))

eval82.0ms (1.1%)

Memory: 3.3MiB live, 127.5MiB allocated
Compiler: Compiled 12 323 to 1 060 computations (91.4% saved)

prune33.0ms (0.4%)

Memory

-22.6MiB live, 49.4MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	502	8	510
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	503	8	511

Accuracy

100.0%

Counts

511 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
	98.7%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	97.6%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
▶	31.8%	(+.f64 (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (.f64 z z))
▶	75.2%	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
	98.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
	51.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	53.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 178 to 132 computations (25.8% saved)

simplify207.0ms (2.7%)

Memory

2.7MiB live, 123.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	128	(neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))
cost-diff	128	(+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (*.f64 z z))
cost-diff	1408	(fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))))
cost-diff	0	(*.f64 y x)
cost-diff	0	(*.f64 z z)
cost-diff	0	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
cost-diff	0	(*.f64 z z)
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
cost-diff	128	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 z z (*.f64 y x))
cost-diff	0	(*.f64 #s(literal 2 binary64) z)
cost-diff	384	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))

Rules

3 424×	`lower-fma.f32`
3 414×	`lower-fma.f64`
1 344×	`lower-*.f32`
1 334×	`lower-*.f64`
788×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	267
0	55	267
1	104	251
2	183	247
3	369	247
4	746	247
5	1725	247
6	3027	232
7	3898	232
8	3999	232
9	4010	232
10	4011	232
11	4011	226
12	4277	226
13	4421	226
14	4423	226
15	4423	226
16	4423	226
17	4424	226
0	4424	216

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y))
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
z
(fma.f64 z z (*.f64 y x))
(fma.f64 z z (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 z z)
z
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y))
#s(literal 3 binary64)
(*.f64 z z)
z
(*.f64 y x)
(*.f64 x y)
y
x
(+.f64 (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (.f64 z z))
(-.f64 (hypot.f64 z z) (/.f64 (fma.f64 (.f64 (.f64 (neg.f64 x) x) y) y (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (*.f64 x y))))
(+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (*.f64 z z))
(fma.f64 z z (/.f64 (fma.f64 (.f64 x x) (.f64 y y) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (neg.f64 z) z (*.f64 x y))))
(fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))))
(/.f64 (fma.f64 (.f64 x x) (.f64 y y) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (neg.f64 z) z (*.f64 x y)))
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
(/.f64 x (fma.f64 (neg.f64 z) z (*.f64 y x)))
(/.f64 x (fma.f64 (neg.f64 z) z (*.f64 x y)))
(fma.f64 (neg.f64 z) z (*.f64 y x))
(fma.f64 (neg.f64 z) z (*.f64 x y))
(neg.f64 z)
z
(*.f64 y x)
(*.f64 x y)
(neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 x) y (*.f64 z z)))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 x y)))
(pow.f64 z #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 z z)

localize134.0ms (1.7%)

Memory

11.9MiB live, 136.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	9.768601634249155	(.f64 (.f64 y y) x)
accuracy	9.777501659627275	(/.f64 x (fma.f64 (neg.f64 z) z (*.f64 y x)))
accuracy	12.031312531613299	(fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))))
accuracy	27.05433321070905	(/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 y x)
accuracy	1.4062438074906176	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 y x)
accuracy	0.8242125574906174	(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
accuracy	29.508596519299616	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
accuracy	0	(*.f64 y x)
accuracy	29.51752177998699	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
accuracy	0	(*.f64 y x)
accuracy	0	(*.f64 #s(literal 2 binary64) z)
accuracy	0.01953125	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
accuracy	0.7538979928166806	(fma.f64 z z (*.f64 y x))

Samples

80.0ms

256×

valid

Compiler

Compiled 274 to 33 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 37.0ms (59.4% of total)

ival-add: 16.0ms (25.7% of total)

ival-div: 3.0ms (4.8% of total)

ival-pow: 3.0ms (4.8% of total)

ival-neg: 2.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series51.0ms (0.7%)

Memory

-7.3MiB live, 101.1MiB allocated

Counts

15 → 468

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation:binary64>) () ())
#s(alt (fma.f64 z z (.f64 y x)) (patch (fma.f64 z z (.f64 y x)) #<representation:binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation:binary64>) () ())
#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 y x)) #<representation:binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (patch (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) #<representation:binary64>) () ())
#s(alt (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (patch (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) #<representation:binary64>) () ())
#s(alt (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) (patch (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation:binary64>) () ())
#s(alt (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation:binary64>) () ())
#s(alt (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation:binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation:binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation:binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation:binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 z z (.f64 y x)) (patch (fma.f64 z z (.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (.f64 y x)) (patch (fma.f64 z z (.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (.f64 y x)) (patch (fma.f64 z z (.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (.f64 y x)) (patch (fma.f64 z z (.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (patch (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (patch (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (patch (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (patch (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (patch (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (patch (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (patch (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (patch (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (pow z 4) (* x y))) (taylor 0 z) (#s(alt (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) (patch (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 4) (- (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))) (taylor 0 z) (#s(alt (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) (patch (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 4) (- (* (pow z 2) (- (* -1 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))) (taylor 0 z) (#s(alt (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) (patch (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 4) (- (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))) (taylor 0 z) (#s(alt (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) (patch (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) #<representation:binary64>) () ())) ())
#s(alt (/ (pow z 4) (* x y)) (taylor 0 z) (#s(alt (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 4) (+ (/ 1 (* x y)) (/ (pow z 2) (* (pow x 2) (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 4) (+ (* (pow z 2) (+ (/ 1 (* (pow x 2) (pow y 2))) (/ (pow z 2) (* (pow x 3) (pow y 3))))) (/ 1 (* x y)))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 4) (+ (* (pow z 2) (+ (* (pow z 2) (+ (/ 1 (* (pow x 3) (pow y 3))) (/ (pow z 2) (* (pow x 4) (pow y 4))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 z) (#s(alt (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (+ (/ 1 y) (/ (pow z 2) (* x (pow y 2)))) (taylor 0 z) (#s(alt (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (+ (/ 1 (* x (pow y 2))) (/ (pow z 2) (* (pow x 2) (pow y 3))))) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (+ (* (pow z 2) (+ (/ 1 (* (pow x 2) (pow y 3))) (/ (pow z 2) (* (pow x 3) (pow y 4))))) (/ 1 (* x (pow y 2))))) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (* 2 z) (taylor inf z) (#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation:binary64>) () ())) ())
#s(alt (* 2 z) (taylor inf z) (#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation:binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (patch (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (pow z 2) (* -1 (pow z 2))) x))))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (patch (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (/ (pow z 4) (* x y)) (pow z 2))) (* -1 (pow z 2))) x))))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (patch (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (/ (pow z 4) (* x y)) (pow z 2))) (* -1 (pow z 2))) x))))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) (patch (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))))) (.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (pow z 4) (* x y))) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) (patch (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (pow z 6) (* x (pow y 2))) (* -1 (/ (pow z 4) y))) x)) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) (patch (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow z 6) (pow y 2))) (* -1 (/ (pow z 8) (* x (pow y 3))))) x)) (* -1 (/ (pow z 4) y))) x)) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) (patch (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (/ (pow z 8) (pow y 3)) (/ (pow z 10) (* x (pow y 4)))) x)) (* -1 (/ (pow z 6) (pow y 2)))) x)) (* -1 (/ (pow z 4) y))) x)) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) (patch (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x)))) #<representation:binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation:binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation:binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation:binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation:binary64>) () ())) ())
#s(alt (/ (pow z 4) (* x y)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (* -1 (/ (pow z 6) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (/ (pow z 8) (* x (pow y 3))) (* -1 (/ (pow z 6) (pow y 2)))) x)) (* -1 (/ (pow z 4) y))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 10) (* x (pow y 4)))) (/ (pow z 8) (pow y 3))) x)) (* -1 (/ (pow z 6) (pow y 2)))) x)) (* -1 (/ (pow z 4) y))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (+ (/ 1 y) (/ (pow z 2) (* x (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (pow z 4) (* x (pow y 3)))) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* x (pow y 4))) (* -1 (/ (pow z 4) (pow y 3)))) x)) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) (patch (/.f64 x (fma.f64 (neg.f64 z) z (.f64 y x))) #<representation:binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	z	@	inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (* z z) (+ (* 3 (* z z)) (* y x)) (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x)))) (* (* y y) x) (/ (pow z 4) (+ (* (neg z) z) (* y x))) (/ x (+ (* (neg z) z) (* y x))))
7.0ms	x	@	inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (* z z) (+ (* 3 (* z z)) (* y x)) (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x)))) (* (* y y) x) (/ (pow z 4) (+ (* (neg z) z) (* y x))) (/ x (+ (* (neg z) z) (* y x))))
3.0ms	z	@	0	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (* z z) (+ (* 3 (* z z)) (* y x)) (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x)))) (* (* y y) x) (/ (pow z 4) (+ (* (neg z) z) (* y x))) (/ x (+ (* (neg z) z) (* y x))))
3.0ms	x	@	0	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (* z z) (+ (* 3 (* z z)) (* y x)) (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x)))) (* (* y y) x) (/ (pow z 4) (+ (* (neg z) z) (* y x))) (/ x (+ (* (neg z) z) (* y x))))
3.0ms	x	@	-inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (* z z) (+ (* 3 (* z z)) (* y x)) (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (+ (+ (* (* (* y y) x) (/ x (+ (* (neg z) z) (* y x)))) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x))))) (* z z)) (neg (/ (pow z 4) (+ (* (neg z) z) (* y x)))) (* (* y y) x) (/ (pow z 4) (+ (* (neg z) z) (* y x))) (/ x (+ (* (neg z) z) (* y x))))

simplify323.0ms (4.2%)

Memory

-13.1MiB live, 205.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 162×	`lower-fma.f64`
7 162×	`lower-fma.f32`
4 520×	`lower-*.f64`
4 520×	`lower-*.f32`
1 934×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	560	5290
1	1894	5199
2	6062	5145
0	8211	4766

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

Inputs
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* -1 (/ (pow z 4) (* x y)))
(* (pow z 4) (- (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))
(* (pow z 4) (- (* (pow z 2) (- (* -1 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))))
(* (pow z 4) (- (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))))
(/ (pow z 4) (* x y))
(* (pow z 4) (+ (/ 1 (* x y)) (/ (pow z 2) (* (pow x 2) (pow y 2)))))
(* (pow z 4) (+ (* (pow z 2) (+ (/ 1 (* (pow x 2) (pow y 2))) (/ (pow z 2) (* (pow x 3) (pow y 3))))) (/ 1 (* x y))))
(* (pow z 4) (+ (* (pow z 2) (+ (* (pow z 2) (+ (/ 1 (* (pow x 3) (pow y 3))) (/ (pow z 2) (* (pow x 4) (pow y 4))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))))
(/ 1 y)
(+ (/ 1 y) (/ (pow z 2) (* x (pow y 2))))
(+ (* (pow z 2) (+ (/ 1 (* x (pow y 2))) (/ (pow z 2) (* (pow x 2) (pow y 3))))) (/ 1 y))
(+ (* (pow z 2) (+ (* (pow z 2) (+ (/ 1 (* (pow x 2) (pow y 3))) (/ (pow z 2) (* (pow x 3) (pow y 4))))) (/ 1 (* x (pow y 2))))) (/ 1 y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(* (pow z 2) (+ 1 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(* (pow z 2) (+ 2 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* (pow z 2) (+ 1 (+ (/ (* x y) (pow z 2)) (+ (/ (* (pow x 2) (pow y 2)) (pow z 4)) (/ (* (pow x 3) (pow y 3)) (pow z 6))))))
(* -1 (pow z 2))
(* (pow z 2) (- (* -1 (/ (* x y) (pow z 2))) 1))
(* (pow z 2) (- (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ 1 (/ (* x y) (pow z 2)))))
(* (pow z 2) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 6))) (+ 1 (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(* -1 (/ x (pow z 2)))
(/ (+ (* -1 x) (* -1 (/ (* (pow x 2) y) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1 x) (* -1 (/ (* (pow x 3) (pow y 2)) (pow z 4)))) (/ (* (pow x 2) y) (pow z 2))) (pow z 2))
(/ (- (+ (* -1 x) (* -1 (/ (* (pow x 4) (pow y 3)) (pow z 6)))) (+ (/ (* (pow x 2) y) (pow z 2)) (/ (* (pow x 3) (pow y 2)) (pow z 4)))) (pow z 2))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(* (pow z 2) (+ 1 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(* (pow z 2) (+ 2 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* (pow z 2) (+ 1 (+ (/ (* x y) (pow z 2)) (+ (/ (* (pow x 2) (pow y 2)) (pow z 4)) (/ (* (pow x 3) (pow y 3)) (pow z 6))))))
(* -1 (pow z 2))
(* (pow z 2) (- (* -1 (/ (* x y) (pow z 2))) 1))
(* (pow z 2) (- (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (+ 1 (/ (* x y) (pow z 2)))))
(* (pow z 2) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 6))) (+ 1 (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))
(* -1 (/ x (pow z 2)))
(/ (+ (* -1 x) (* -1 (/ (* (pow x 2) y) (pow z 2)))) (pow z 2))
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Outputs
(* x y)
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(* 2 z)
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(fma.f64 z z (*.f64 y x))
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(fma.f64 z z (*.f64 y x))
(* x y)
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(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
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(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
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(+ (* 2 (pow z 2)) (* x y))
(fma.f64 y x (hypot.f64 z z))
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(+ (* 2 (pow z 2)) (* x y))
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(pow z 2)
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(* x y)
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(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(*.f64 (fma.f64 z (/.f64 z x) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (/ (pow z 4) (* x y))) (* -1 (pow z 2))) x)))))
(*.f64 (fma.f64 z (/.f64 z x) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (/ (pow z 4) (* x y))) (* -1 (pow z 2))) x)))))
(*.f64 (fma.f64 z (/.f64 z x) y) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (pow z 2) (* -1 (pow z 2))) x)))))
(*.f64 (+.f64 (/.f64 (hypot.f64 z z) x) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (/ (pow z 4) (* x y)) (pow z 2))) (* -1 (pow z 2))) x)))))
(*.f64 (+.f64 (/.f64 (hypot.f64 z z) x) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 4) (* x y))) (+ (/ (pow z 4) (* x y)) (pow z 2))) (* -1 (pow z 2))) x)))))
(*.f64 (+.f64 (/.f64 (hypot.f64 z z) x) y) x)
(* -1 (/ (pow z 4) (* x y)))
(/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (neg.f64 y))
(* -1 (/ (- (/ (pow z 6) (* x (pow y 2))) (* -1 (/ (pow z 4) y))) x))
(/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) y) (*.f64 x x)) (/.f64 (pow.f64 z #s(literal 4 binary64)) x)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow z 6) (pow y 2))) (* -1 (/ (pow z 8) (* x (pow y 3))))) x)) (* -1 (/ (pow z 4) y))) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 8 binary64)) x) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) y) y)) (neg.f64 x)) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) x)
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (/ (pow z 8) (pow y 3)) (/ (pow z 10) (* x (pow y 4)))) x)) (* -1 (/ (pow z 6) (pow y 2)))) x)) (* -1 (/ (pow z 4) y))) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 10 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) y) y)) (neg.f64 x)) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(/ (pow z 4) (* x y))
(/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) x)
(* -1 (/ (+ (* -1 (/ (pow z 4) y)) (* -1 (/ (pow z 6) (* x (pow y 2))))) x))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) x) y) y) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) x)
(* -1 (/ (+ (* -1 (/ (- (/ (pow z 8) (* x (pow y 3))) (* -1 (/ (pow z 6) (pow y 2)))) x)) (* -1 (/ (pow z 4) y))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 8 binary64)) x) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) y) y)) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) x)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 10) (* x (pow y 4)))) (/ (pow z 8) (pow y 3))) x)) (* -1 (/ (pow z 6) (pow y 2)))) x)) (* -1 (/ (pow z 4) y))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 10 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) y) y)) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (/ 1 y) (/ (pow z 2) (* x (pow y 2))))
(fma.f64 (/.f64 z x) (/.f64 z (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(+ (* -1 (/ (- (* -1 (/ (pow z 4) (* x (pow y 3)))) (/ (pow z 2) (pow y 2))) x)) (/ 1 y))
(+.f64 (/.f64 (/.f64 (fma.f64 z (/.f64 z x) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (*.f64 x x))) y) y) (/.f64 #s(literal 1 binary64) y))
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* x (pow y 4))) (* -1 (/ (pow z 4) (pow y 3)))) x)) (/ (pow z 2) (pow y 2))) x)) (/ 1 y))
(+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) x) (pow.f64 y #s(literal 4 binary64)))) x) (/.f64 (/.f64 (*.f64 z z) y) y)) x) (/.f64 #s(literal 1 binary64) y))

rewrite545.0ms (7%)

Memory

20.3MiB live, 478.7MiB allocated

Rules

5 442×	`lower-*.f32`
5 432×	`lower-*.f64`
4 602×	`lower-/.f32`
4 598×	`lower-/.f64`
4 394×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	182
0	53	161
1	240	125
2	2024	125
0	9179	115

Stop Event

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

Counts

15 → 1 135

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (fma.f64 x y (hypot.f64 z z)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (-.f64 (fma.f64 x y (hypot.f64 z z)) (.f64 z z)) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (*.f64 (neg.f64 x) y)) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (hypot.f64 z z) (fma.f64 z z (.f64 x y))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (fma.f64 x y (hypot.f64 z z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (-.f64 (hypot.f64 (fma.f64 x y (hypot.f64 z z)) (.f64 z z)) (.f64 (.f64 z z) (fma.f64 x y (hypot.f64 z z)))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 #s(literal 3 binary64) (*.f64 z z))))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (hypot.f64 z z) (fma.f64 z z (.f64 x y))) (.f64 (hypot.f64 z z) (fma.f64 z z (*.f64 x y)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x y (hypot.f64 z z)) (*.f64 z z)) (-.f64 (pow.f64 (fma.f64 x y (hypot.f64 z z)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (hypot.f64 (fma.f64 x y (hypot.f64 z z)) (.f64 z z)) (.f64 (*.f64 z z) (fma.f64 x y (hypot.f64 z z)))) (+.f64 (pow.f64 (fma.f64 x y (hypot.f64 z z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y)) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 #s(literal 3 binary64) (.f64 z z))))) (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (hypot.f64 z z) (fma.f64 z z (.f64 x y))) (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (hypot.f64 (hypot.f64 z z) (fma.f64 z z (.f64 x y))) (.f64 (hypot.f64 z z) (fma.f64 z z (.f64 x y)))) (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 x y (hypot.f64 z z)) #s(literal 2 binary64)) (-.f64 (fma.f64 x y (hypot.f64 z z)) (.f64 z z))) (.f64 (-.f64 (fma.f64 x y (hypot.f64 z z)) (.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) (.f64 (-.f64 (fma.f64 x y (hypot.f64 z z)) (.f64 z z)) (-.f64 (fma.f64 x y (hypot.f64 z z)) (*.f64 z z))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (*.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (hypot.f64 z z) (fma.f64 z z (.f64 x y)))) (.f64 (-.f64 (hypot.f64 z z) (fma.f64 z z (.f64 x y))) (pow.f64 (fma.f64 z z (.f64 x y)) #s(literal 2 binary64)))) (.f64 (-.f64 (hypot.f64 z z) (fma.f64 z z (.f64 x y))) (-.f64 (hypot.f64 z z) (fma.f64 z z (*.f64 x y)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (-.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (.f64 x y))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (/.f64 (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (/.f64 (-.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (.f64 x y)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y)))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 3 binary64))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (fma.f64 (.f64 x y) (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal 4 binary64)))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (hypot.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (fma.f64 (.f64 x y) (fma.f64 (neg.f64 z) z (*.f64 x y)) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (-.f64 (hypot.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 (.f64 z z) x) y))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (hypot.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (-.f64 (hypot.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 (*.f64 z z) x) y)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (fma.f64 z z (.f64 (neg.f64 x) y))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (fma.f64 z z (*.f64 (neg.f64 x) y)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (neg.f64 z) z (.f64 x y)))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64))) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64)))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (neg.f64 z) z (.f64 x y))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (+.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 8 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))))) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 3 binary64))))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (neg.f64 (+.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 8 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))))) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y)))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y)))) (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (neg.f64 (pow.f64 z #s(literal 4 binary64))))))) (.f64 (-.f64 (.f64 z z) (.f64 z z)) (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y))))))
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(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y)))))))
(/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)))))
(/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y))) (pow.f64 z #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal -4 binary64)))))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y))))
(neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 x y))))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 x y))))
(+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (*.f64 x y))))
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) y)
(.f64 x (.f64 y y))
(.f64 y (.f64 x y))
(.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) z (*.f64 (neg.f64 x) y)))
(.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (hypot.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))))
(.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal -1 binary64)) (pow.f64 z #s(literal 4 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y))))
(.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal -1 binary64)))
(.f64 (.f64 z z) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) z (.f64 x y))))
(.f64 (.f64 z z) (.f64 (.f64 z z) (pow.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal -4 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y)))
(/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) (pow.f64 z #s(literal -4 binary64))))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)))))
(/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 x y)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (*.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)) (pow.f64 z #s(literal -4 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) z (*.f64 (neg.f64 x) y)))
(.f64 (/.f64 x (hypot.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))))
(.f64 (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal -1 binary64)) x)
(.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (neg.f64 z) z (.f64 x y))))
(.f64 (neg.f64 x) (pow.f64 (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))) #s(literal -1 binary64)))
(.f64 x (pow.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)) x) #s(literal -1 binary64))
(/.f64 (.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 z) z (.f64 x y)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)) x))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y))))
(/.f64 x (fma.f64 (neg.f64 z) z (*.f64 x y)))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 (neg.f64 z) z (*.f64 x y))))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (neg.f64 z) z (.f64 x y)) x)) #s(literal -1 binary64)))

eval381.0ms (4.9%)

Memory: 27.5MiB live, 603.4MiB allocated
Compiler: Compiled 77 034 to 3 644 computations (95.3% saved)

prune177.0ms (2.3%)

Memory

11.4MiB live, 133.4MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	1 782	5	1 787
Fresh	1	2	3
Picked	3	2	5
Done	0	0	0
Total	1 786	9	1 795

Accuracy

100.0%

Counts

1 795 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y))
	25.4%	(fma.f64 (.f64 #s(literal 2 binary64) z) z (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)))))
	93.8%	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)))
▶	51.1%	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z)))
▶	76.3%	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
▶	98.7%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	97.6%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
▶	51.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	53.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 170 to 140 computations (17.6% saved)

simplify6.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	-5952	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z)))
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (* z z) (* y x)) (*.f64 z z))
cost-diff	0	(*.f64 #s(literal 2 binary64) z)
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 z z))
cost-diff	0	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
cost-diff	0	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(*.f64 #s(literal 3 binary64) z)
cost-diff	0	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y))

Rules

72×	`lower-fma.f32`
64×	`lower-fma.f64`
52×	`lower-+.f64`
52×	`lower-+.f32`
30×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	143
0	39	143
1	59	137
2	70	132
3	84	132
4	87	132
0	87	123

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y))
(*.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
z
(*.f64 x y)
x
y
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
z
#s(literal 3 binary64)
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
z
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
(*.f64 x y)
x
y
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
y
x
(.f64 #s(literal 3 binary64) (.f64 z z))
#s(literal 3 binary64)
(*.f64 z z)
z
(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z)))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
#s(approx (+ (* z z) (* y x)) (*.f64 z z))
(*.f64 z z)

Outputs
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(*.f64 #s(literal 3 binary64) z)
(*.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
z
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
z
#s(literal 3 binary64)
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)))
z
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
y
x
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (.f64 z z) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 z z)
z
(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z)))
(+.f64 (hypot.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
#s(approx (+ (* z z) (* y x)) (*.f64 z z))
(*.f64 z z)

localize76.0ms (1%)

Memory

-45.4MiB live, 74.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 #s(literal 2 binary64) z)
accuracy	0.01953125	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z)))
accuracy	31.286544035730543	#s(approx (+ (* z z) (* y x)) (*.f64 z z))
accuracy	0	(*.f64 z z)
accuracy	0.1328125	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	0.7499917428166807	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
accuracy	0	(*.f64 x y)
accuracy	0.02734375	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
accuracy	29.508596519299616	#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
accuracy	0	(*.f64 z z)
accuracy	0.1328125	(.f64 (.f64 z z) #s(literal 3 binary64))
accuracy	31.24630373595323	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
accuracy	0	(*.f64 x y)
accuracy	0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.8046792428166806	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y))

Samples

60.0ms

256×

valid

Compiler

Compiled 127 to 24 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 13.0ms (61.3% of total)

ival-add: 8.0ms (37.7% of total)

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

exact: 0.0ms (0% of total)

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

series35.0ms (0.5%)

Memory

-7.8MiB live, 31.4MiB allocated

Counts

13 → 336

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) (patch (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) z) (patch (.f64 #s(literal 3 binary64) z) #<representation:binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 z z) #s(literal 3 binary64)) (patch (.f64 (.f64 z z) #s(literal 3 binary64)) #<representation:binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())
#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y))) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y)) #<representation:binary64>) () ())
#s(alt (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) (patch (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) (.f64 z z)) (patch (.f64 #s(literal 3 binary64) (.f64 z z)) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 z z))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation:binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) (patch (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) (patch (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) (patch (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) (patch (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* 3 z) (taylor 0 z) (#s(alt (.f64 #s(literal 3 binary64) z) (patch (.f64 #s(literal 3 binary64) z) #<representation:binary64>) () ())) ())
#s(alt (* 3 z) (taylor 0 z) (#s(alt (.f64 #s(literal 3 binary64) z) (patch (.f64 #s(literal 3 binary64) z) #<representation:binary64>) () ())) ())
#s(alt (* 3 z) (taylor 0 z) (#s(alt (.f64 #s(literal 3 binary64) z) (patch (.f64 #s(literal 3 binary64) z) #<representation:binary64>) () ())) ())
#s(alt (* 3 z) (taylor 0 z) (#s(alt (.f64 #s(literal 3 binary64) z) (patch (.f64 #s(literal 3 binary64) z) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z z) #s(literal 3 binary64)) (patch (.f64 (.f64 z z) #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
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#s(alt (* x y) (taylor inf x) (#s(alt (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) (patch (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (* 3 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) (patch (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (* 3 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) (patch (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (* 3 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) (patch (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y))) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (* 2 (/ (pow z 2) x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (* 2 (/ (pow z 2) x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (* 2 (/ (pow z 2) x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) (patch (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (* 3 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) (patch (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (* 3 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) (patch (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (* 3 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) (patch (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 z z))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 z z))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 z z))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 z z))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) (patch (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) (patch (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) (patch (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) (patch (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y))) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 x y)) (patch #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) (patch (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) (patch (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) (patch (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) (patch (fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 z z))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 z z))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 z z))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 z z))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 z z))) #<representation:binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	y	@	0	((+ (* (* 3 z) z) (* x y)) (* 3 z) (* x y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* 2 z) (+ (* z z) (* y x)) (+ (* (* 2 z) z) (+ (* z z) (* y x))))
1.0ms	z	@	inf	((+ (* (* 3 z) z) (* x y)) (* 3 z) (* x y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* 2 z) (+ (* z z) (* y x)) (+ (* (* 2 z) z) (+ (* z z) (* y x))))
1.0ms	z	@	-inf	((+ (* (* 3 z) z) (* x y)) (* 3 z) (* x y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* 2 z) (+ (* z z) (* y x)) (+ (* (* 2 z) z) (+ (* z z) (* y x))))
1.0ms	z	@	0	((+ (* (* 3 z) z) (* x y)) (* 3 z) (* x y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* 2 z) (+ (* z z) (* y x)) (+ (* (* 2 z) z) (+ (* z z) (* y x))))
1.0ms	x	@	-inf	((+ (* (* 3 z) z) (* x y)) (* 3 z) (* x y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* 2 z) (+ (* z z) (* y x)) (+ (* (* 2 z) z) (+ (* z z) (* y x))))

simplify178.0ms (2.3%)

Memory

4.8MiB live, 123.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 758×	`lower-fma.f64`
6 758×	`lower-fma.f32`
3 874×	`lower-*.f64`
3 874×	`lower-*.f32`
1 104×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	2184
1	304	2184
2	916	2184
3	2500	2184
4	6203	2184
0	8479	1995

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

rewrite372.0ms (4.8%)

Memory

17.4MiB live, 279.0MiB allocated

Rules

7 716×	`lower-fma.f32`
7 708×	`lower-fma.f64`
4 380×	`lower-/.f64`
4 380×	`lower-/.f32`
4 004×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	119
0	39	119
1	159	113
2	1243	106
0	8329	100

Stop Event

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

Counts

13 → 198

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y))
(*.f64 #s(literal 3 binary64) z)
(*.f64 x y)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(.f64 #s(literal 3 binary64) (.f64 z z))
(*.f64 #s(literal 2 binary64) z)
#s(approx (+ (* z z) (* y x)) (*.f64 z z))
(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z)))

Outputs
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 y x)))
(.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 (neg.f64 y) x)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y x (.f64 #s(literal -3 binary64) (*.f64 z z))))))
(.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z))))))))
(.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 (.f64 y x) (.f64 (.f64 z z) #s(literal 3 binary64))) (.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) (*.f64 z z))))))
(.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 (neg.f64 y) x)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (fma.f64 y x (.f64 #s(literal -3 binary64) (*.f64 z z))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z))))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (.f64 y x) (.f64 (.f64 z z) #s(literal 3 binary64))) (.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) (*.f64 z z))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x)))) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x))))) (+.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z))))) (.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))))) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x))) (fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x))) (.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 (neg.f64 y) x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))) (fma.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (.f64 #s(literal -3 binary64) (*.f64 z z))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (fma.f64 y x (.f64 #s(literal -3 binary64) (*.f64 z z))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (.f64 y x) (.f64 (.f64 z z) #s(literal 3 binary64))) (.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 z z))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x))) (.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x)) (fma.f64 (.f64 z z) #s(literal 3 binary64) (*.f64 (neg.f64 y) x))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))) (.f64 (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z))) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))) (.f64 (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z))) (fma.f64 y x (.f64 #s(literal -3 binary64) (*.f64 z z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (fma.f64 y x (.f64 #s(literal -3 binary64) (*.f64 z z)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 (.f64 y x) (.f64 (.f64 z z) #s(literal 3 binary64))) (.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 z z)))))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (fma.f64 y x (.f64 #s(literal -3 binary64) (*.f64 z z))))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (-.f64 (hypot.f64 (.f64 y x) (.f64 (.f64 z z) #s(literal 3 binary64))) (.f64 (.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 z z))))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z))) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z))))))
(fma.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x)))))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 y x))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))))
(+.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 (neg.f64 y) x)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))) (neg.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z))))))
(+.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(*.f64 z #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) z)
(*.f64 y x)
(*.f64 x y)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 z (.f64 z #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 z z))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))
(*.f64 z z)
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(.f64 (-.f64 (pow.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))))
(.f64 #s(literal 1 binary64) (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (*.f64 y x))))
(.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))))))
(.f64 (neg.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x)) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x)) (-.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) (pow.f64 z #s(literal 4 binary64))))))
(.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))) #s(literal -1 binary64)))
(.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x)) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))))))
(.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x)) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x)) (-.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x))))) (.f64 (/.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) #s(literal 2 binary64)) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)))) (/.f64 (pow.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x)) #s(literal 2 binary64)) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)))))) (+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)))) (/.f64 (pow.f64 #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 y x)) #s(literal 2 binary64)) (-.f64 (.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))))))
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eval100.0ms (1.3%)

Memory: -23.8MiB live, 225.5MiB allocated
Compiler: Compiled 8 568 to 453 computations (94.7% saved)

prune23.0ms (0.3%)

Memory

-5.7MiB live, 72.0MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	594	2	596
Fresh	0	2	2
Picked	1	4	5
Done	0	2	2
Total	595	10	605

Accuracy

100.0%

Counts

605 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y))
▶	25.4%	(fma.f64 (.f64 #s(literal 2 binary64) z) z (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)))))
▶	93.8%	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)))
▶	51.1%	(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
✓	76.3%	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
✓	98.7%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	97.6%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
✓	51.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	51.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	53.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 97 to 82 computations (15.5% saved)

simplify275.0ms (3.6%)

Memory

28.3MiB live, 185.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))))
cost-diff	0	(*.f64 #s(literal 2 binary64) z)
cost-diff	128	(neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)))
cost-diff	256	(-.f64 (.f64 (.f64 (*.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64))))
cost-diff	0	(fma.f64 z (/.f64 z y) x)
cost-diff	0	#s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y))
cost-diff	0	(*.f64 #s(literal 2 binary64) z)
cost-diff	704	(*.f64 (fma.f64 z (/.f64 z y) x) y)
cost-diff	-5952	(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
cost-diff	-128	(+.f64 z z)
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (* z z) (* y x)) (*.f64 z z))
cost-diff	0	(*.f64 z #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 z #s(literal 3 binary64)) z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))

Rules

8 192×	`lower-fma.f32`
8 182×	`lower-fma.f64`
2 528×	`lower-*.f32`
2 510×	`lower-*.f64`
1 210×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	241
0	66	239
1	124	233
2	272	226
3	857	226
4	2632	223
5	4523	223
6	5483	223
7	6534	223
8	7465	223
9	7954	223
0	8016	212

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 #s(literal 3 binary64) z) z)
(*.f64 z #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) z)
z
#s(literal 3 binary64)
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
(+.f64 (hypot.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
z
(+.f64 z z)
(*.f64 #s(literal 2 binary64) z)
#s(approx (+ (* z z) (* y x)) (*.f64 z z))
(*.f64 z z)
(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)))
(+.f64 (hypot.f64 z z) #s(approx (+ (* z z) (* y x)) (fma.f64 y x (*.f64 z z))))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
#s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y))
#s(approx (+ (* z z) (* y x)) (fma.f64 y x (*.f64 z z)))
(*.f64 (fma.f64 z (/.f64 z y) x) y)
(fma.f64 y x (*.f64 z z))
(fma.f64 z (/.f64 z y) x)
(fma.f64 (/.f64 z y) z x)
(/.f64 z y)
y
x
(fma.f64 (.f64 #s(literal 2 binary64) z) z (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)))))
(-.f64 (hypot.f64 z z) (/.f64 (fma.f64 (.f64 (neg.f64 y) y) (.f64 x x) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (*.f64 y x))))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))))
(/.f64 (fma.f64 (.f64 (neg.f64 y) y) (.f64 x x) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 x) y (*.f64 z z)))
(-.f64 (.f64 (.f64 (*.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (.f64 (neg.f64 y) y) (.f64 x x) (pow.f64 z #s(literal 4 binary64)))
(.f64 (.f64 (*.f64 y y) x) (neg.f64 x))
(.f64 (.f64 (neg.f64 y) y) (*.f64 x x))
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
(neg.f64 x)
(neg.f64 (pow.f64 z #s(literal 4 binary64)))
(pow.f64 z #s(literal 4 binary64))
#s(literal 4 binary64)
(neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)))
(fma.f64 (neg.f64 x) y (*.f64 z z))
(fma.f64 (neg.f64 z) z (*.f64 x y))
(fma.f64 (neg.f64 z) z (*.f64 y x))
(neg.f64 z)
(*.f64 x y)
(*.f64 y x)

localize288.0ms (3.7%)

Memory

-15.9MiB live, 187.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	3.2730291569235743	(.f64 (.f64 (*.f64 y y) x) (neg.f64 x))
accuracy	7.046848165792676	(-.f64 (.f64 (.f64 (*.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64))))
accuracy	9.768601634249155	(.f64 (.f64 y y) x)
accuracy	36.92438317986778	(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))))
accuracy	0	#s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y))
accuracy	0.01953125	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)))
accuracy	0.0703125	(fma.f64 z (/.f64 z y) x)
accuracy	4.0155867156813905	(*.f64 (fma.f64 z (/.f64 z y) x) y)
accuracy	0	(+.f64 z z)
accuracy	0	(*.f64 z z)
accuracy	0.01953125	(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
accuracy	31.286544035730543	#s(approx (+ (* z z) (* y x)) (*.f64 z z))
accuracy	0	(*.f64 z #s(literal 3 binary64))
accuracy	0.125	(.f64 (.f64 z #s(literal 3 binary64)) z)
accuracy	31.24630373595323	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))

Samples

262.0ms

256×

valid

Compiler

Compiled 220 to 40 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

ival-mult: 146.0ms (80% of total)

ival-add: 25.0ms (13.7% of total)

ival-neg: 4.0ms (2.2% of total)

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

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

ival-sub: 1.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series93.0ms (1.2%)

Memory

-2.5MiB live, 72.3MiB allocated

Counts

17 → 468

Calls

Call 1

Inputs
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 z #s(literal 3 binary64)) z) (patch (.f64 (.f64 z #s(literal 3 binary64)) z) #<representation:binary64>) () ())
#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation:binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())
#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation:binary64>) () ())
#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (*.f64 z z))) #<representation:binary64>) () ())
#s(alt (.f64 (fma.f64 z (/.f64 z y) x) y) (patch (.f64 (fma.f64 z (/.f64 z y) x) y) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 z (/.f64 z y) x) y)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)) #<representation:binary64>) () ())
#s(alt (fma.f64 z (/.f64 z y) x) (patch (fma.f64 z (/.f64 z y) x) #<representation:binary64>) () ())
#s(alt (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (patch (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) #<representation:binary64>) () ())
#s(alt (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))) (patch (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))) #<representation:binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y)))) (patch (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y)))) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 z (/.f64 z y) x) y))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y))) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (patch (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) #<representation:binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z #s(literal 3 binary64)) z) (patch (.f64 (.f64 z #s(literal 3 binary64)) z) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z #s(literal 3 binary64)) z) (patch (.f64 (.f64 z #s(literal 3 binary64)) z) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z #s(literal 3 binary64)) z) (patch (.f64 (.f64 z #s(literal 3 binary64)) z) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z #s(literal 3 binary64)) z) (patch (.f64 (.f64 z #s(literal 3 binary64)) z) #<representation:binary64>) () ())) ())
#s(alt (* 3 z) (taylor 0 z) (#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 3 z) (taylor 0 z) (#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 3 z) (taylor 0 z) (#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 3 z) (taylor 0 z) (#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 (fma.f64 z (/.f64 z y) x) y) (patch (.f64 (fma.f64 z (/.f64 z y) x) y) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (.f64 (fma.f64 z (/.f64 z y) x) y) (patch (.f64 (fma.f64 z (/.f64 z y) x) y) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (.f64 (fma.f64 z (/.f64 z y) x) y) (patch (.f64 (fma.f64 z (/.f64 z y) x) y) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (.f64 (fma.f64 z (/.f64 z y) x) y) (patch (.f64 (fma.f64 z (/.f64 z y) x) y) #<representation:binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation:binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation:binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation:binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 z (/.f64 z y) x) y)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 z (/.f64 z y) x) y)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 z (/.f64 z y) x) y)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 z (/.f64 z y) x) y)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)) #<representation:binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 z (/.f64 z y) x) (patch (fma.f64 z (/.f64 z y) x) #<representation:binary64>) () ())) ())
#s(alt (+ x (/ (pow z 2) y)) (taylor 0 z) (#s(alt (fma.f64 z (/.f64 z y) x) (patch (fma.f64 z (/.f64 z y) x) #<representation:binary64>) () ())) ())
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#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 z (/.f64 z y) x) y))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 z (/.f64 z y) x) y))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 z (/.f64 z y) x) y))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y))) #<representation:binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation:binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation:binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation:binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (patch (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (patch (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (patch (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (patch (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 z z)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 z z)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (*.f64 z z))) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 (fma.f64 z (/.f64 z y) x) y) (patch (.f64 (fma.f64 z (/.f64 z y) x) y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 z (/.f64 z y) x) y) (patch (.f64 (fma.f64 z (/.f64 z y) x) y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 z (/.f64 z y) x) y) (patch (.f64 (fma.f64 z (/.f64 z y) x) y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 z (/.f64 z y) x) y) (patch (.f64 (fma.f64 z (/.f64 z y) x) y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 z (/.f64 z y) x) y)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 z (/.f64 z y) x) y)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 z (/.f64 z y) x) y)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 z (/.f64 z y) x) y)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 z (/.f64 z y) x) (patch (fma.f64 z (/.f64 z y) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow z 2) (* x y))) 1))) (taylor -inf x) (#s(alt (fma.f64 z (/.f64 z y) x) (patch (fma.f64 z (/.f64 z y) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow z 2) (* x y))) 1))) (taylor -inf x) (#s(alt (fma.f64 z (/.f64 z y) x) (patch (fma.f64 z (/.f64 z y) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow z 2) (* x y))) 1))) (taylor -inf x) (#s(alt (fma.f64 z (/.f64 z y) x) (patch (fma.f64 z (/.f64 z y) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (patch (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (pow y 2)) (/ (pow z 4) (pow x 2)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (patch (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (pow y 2)) (/ (pow z 4) (pow x 2)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (patch (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (pow y 2)) (/ (pow z 4) (pow x 2)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (patch (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))) (patch (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))) (patch (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))) (patch (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))) (patch (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y))) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y)))) (patch (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y)))) (patch (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y)))) (patch (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y)))) (patch (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) z (.f64 x y)))) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 z (/.f64 z y) x) y))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 z (/.f64 z y) x) y))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 z (/.f64 z y) x) y))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 z (/.f64 z y) x) y))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y))) #<representation:binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation:binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation:binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation:binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (patch (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (patch (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (patch (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (patch (.f64 (.f64 (.f64 y y) x) (neg.f64 x)) #<representation:binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z z) (* y x)) (* z z) (+ z z) (+ (* z (+ z z)) (+ (* z z) (* y x))) (* (+ (* z (/ z y)) x) y) (* 2 z) (+ (* z z) (* y x)) (+ (* z (/ z y)) x) (- (* (* (* y y) x) (neg x)) (neg (pow z 4))) (neg (+ (* (neg z) z) (* x y))) (/ (- (* (* (* y y) x) (neg x)) (neg (pow z 4))) (neg (+ (* (neg z) z) (* x y)))) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* (* y y) x) (* (* (* y y) x) (neg x)))
3.0ms	z	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z z) (* y x)) (* z z) (+ z z) (+ (* z (+ z z)) (+ (* z z) (* y x))) (* (+ (* z (/ z y)) x) y) (* 2 z) (+ (* z z) (* y x)) (+ (* z (/ z y)) x) (- (* (* (* y y) x) (neg x)) (neg (pow z 4))) (neg (+ (* (neg z) z) (* x y))) (/ (- (* (* (* y y) x) (neg x)) (neg (pow z 4))) (neg (+ (* (neg z) z) (* x y)))) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* (* y y) x) (* (* (* y y) x) (neg x)))
3.0ms	z	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z z) (* y x)) (* z z) (+ z z) (+ (* z (+ z z)) (+ (* z z) (* y x))) (* (+ (* z (/ z y)) x) y) (* 2 z) (+ (* z z) (* y x)) (+ (* z (/ z y)) x) (- (* (* (* y y) x) (neg x)) (neg (pow z 4))) (neg (+ (* (neg z) z) (* x y))) (/ (- (* (* (* y y) x) (neg x)) (neg (pow z 4))) (neg (+ (* (neg z) z) (* x y)))) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* (* y y) x) (* (* (* y y) x) (neg x)))
3.0ms	z	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z z) (* y x)) (* z z) (+ z z) (+ (* z (+ z z)) (+ (* z z) (* y x))) (* (+ (* z (/ z y)) x) y) (* 2 z) (+ (* z z) (* y x)) (+ (* z (/ z y)) x) (- (* (* (* y y) x) (neg x)) (neg (pow z 4))) (neg (+ (* (neg z) z) (* x y))) (/ (- (* (* (* y y) x) (neg x)) (neg (pow z 4))) (neg (+ (* (neg z) z) (* x y)))) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* (* y y) x) (* (* (* y y) x) (neg x)))
2.0ms	y	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z z) (* y x)) (* z z) (+ z z) (+ (* z (+ z z)) (+ (* z z) (* y x))) (* (+ (* z (/ z y)) x) y) (* 2 z) (+ (* z z) (* y x)) (+ (* z (/ z y)) x) (- (* (* (* y y) x) (neg x)) (neg (pow z 4))) (neg (+ (* (neg z) z) (* x y))) (/ (- (* (* (* y y) x) (neg x)) (neg (pow z 4))) (neg (+ (* (neg z) z) (* x y)))) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* (* y y) x) (* (* (* y y) x) (neg x)))

simplify246.0ms (3.2%)

Memory

-2.0MiB live, 281.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 516×	`lower-fma.f64`
12 516×	`lower-fma.f32`
3 864×	`lower-*.f64`
3 864×	`lower-*.f32`
2 562×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	3031
1	354	3004
2	1011	3004
3	4215	3004
0	8641	2788

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 463

Calls

Call 1

Inputs
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
x
(+ x (/ (pow z 2) y))
(+ x (/ (pow z 2) y))
(+ x (/ (pow z 2) y))
(* -1 (* (pow x 2) (pow y 2)))
(+ (* -1 (* (pow x 2) (pow y 2))) (pow z 4))
(+ (* -1 (* (pow x 2) (pow y 2))) (pow z 4))
(+ (* -1 (* (pow x 2) (pow y 2))) (pow z 4))
(* -1 (* x y))
(- (pow z 2) (* x y))
(- (pow z 2) (* x y))
(- (pow z 2) (* x y))
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(/ (pow z 2) y)
(* (pow z 2) (+ (/ 1 y) (/ x (pow z 2))))
(* (pow z 2) (+ (/ 1 y) (/ x (pow z 2))))
(* (pow z 2) (+ (/ 1 y) (/ x (pow z 2))))
(pow z 4)
(* (pow z 4) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* (pow z 4) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* (pow z 4) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* x y) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* x y) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* x y) (pow z 2)))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(/ (pow z 2) y)
(* (pow z 2) (+ (/ 1 y) (/ x (pow z 2))))
(* (pow z 2) (+ (/ 1 y) (/ x (pow z 2))))
(* (pow z 2) (+ (/ 1 y) (/ x (pow z 2))))
(pow z 4)
(* (pow z 4) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* (pow z 4) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* (pow z 4) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* x y) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* x y) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* x y) (pow z 2)))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(/ (pow z 2) y)
(/ (+ (* x y) (pow z 2)) y)
(/ (+ (* x y) (pow z 2)) y)
(/ (+ (* x y) (pow z 2)) y)
(pow z 4)
(+ (* -1 (* (pow x 2) (pow y 2))) (pow z 4))
(+ (* -1 (* (pow x 2) (pow y 2))) (pow z 4))
(+ (* -1 (* (pow x 2) (pow y 2))) (pow z 4))
(pow z 2)
(- (* -1 (* x y)) (* -1 (pow z 2)))
(- (* -1 (* x y)) (* -1 (pow z 2)))
(- (* -1 (* x y)) (* -1 (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
x
(+ x (/ (pow z 2) y))
(+ x (/ (pow z 2) y))
(+ x (/ (pow z 2) y))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow z 4) (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow z 4) (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow z 4) (pow y 2))))
(* -1 (* x y))
(* y (- (/ (pow z 2) y) x))
(* y (- (/ (pow z 2) y) x))
(* y (- (/ (pow z 2) y) x))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
x
(+ x (/ (pow z 2) y))
(+ x (/ (pow z 2) y))
(+ x (/ (pow z 2) y))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow z 4) (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow z 4) (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow z 4) (pow y 2))))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (pow z 2) y)) (* -1 x))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(/ (pow z 2) y)
(+ x (/ (pow z 2) y))
(+ x (/ (pow z 2) y))
(+ x (/ (pow z 2) y))
(pow z 4)
(+ (* -1 (* (pow x 2) (pow y 2))) (pow z 4))
(+ (* -1 (* (pow x 2) (pow y 2))) (pow z 4))
(+ (* -1 (* (pow x 2) (pow y 2))) (pow z 4))
(pow z 2)
(- (* -1 (* x y)) (* -1 (pow z 2)))
(- (* -1 (* x y)) (* -1 (pow z 2)))
(- (* -1 (* x y)) (* -1 (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
x
(* x (+ 1 (/ (pow z 2) (* x y))))
(* x (+ 1 (/ (pow z 2) (* x y))))
(* x (+ 1 (/ (pow z 2) (* x y))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1 (pow y 2)) (/ (pow z 4) (pow x 2))))
(* (pow x 2) (+ (* -1 (pow y 2)) (/ (pow z 4) (pow x 2))))
(* (pow x 2) (+ (* -1 (pow y 2)) (/ (pow z 4) (pow x 2))))
(* -1 (* x y))
(* x (- (/ (pow z 2) x) y))
(* x (- (/ (pow z 2) x) y))
(* x (- (/ (pow z 2) x) y))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
x
(* -1 (* x (- (* -1 (/ (pow z 2) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow z 2) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow z 2) (* x y))) 1)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1 (pow y 2)) (/ (pow z 4) (pow x 2))))
(* (pow x 2) (+ (* -1 (pow y 2)) (/ (pow z 4) (pow x 2))))
(* (pow x 2) (+ (* -1 (pow y 2)) (/ (pow z 4) (pow x 2))))
(* -1 (* x y))
(* -1 (* x (- (* -1 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (pow z 2) x)) (* -1 y))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))

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

rewrite195.0ms (2.5%)

Memory

20.1MiB live, 333.5MiB allocated

Rules

5 186×	`lower-fma.f32`
5 178×	`lower-fma.f64`
5 094×	`lower-*.f32`
5 076×	`lower-*.f64`
4 000×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	172
0	64	170
1	260	144
2	1984	144
0	8712	135

Stop Event

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

Counts

17 → 531

Calls

Call 1

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

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 z (.f64 #s(literal 3 binary64) z))
(*.f64 #s(literal 3 binary64) z)
(*.f64 z #s(literal 3 binary64))
#s(approx (+ (* z z) (* y x)) (*.f64 z z))
(*.f64 (neg.f64 (neg.f64 z)) z)
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 z) z))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 z (neg.f64 (neg.f64 z)))
(*.f64 z z)
(pow.f64 (neg.f64 z) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 z) z))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
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(pow.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y))) (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (hypot.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y))) (.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)))) (fma.f64 #s(literal 2 binary64) z (pow.f64 #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)) (.f64 #s(literal 2 binary64) z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y))) (.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y))) (pow.f64 #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y))) (-.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)) (.f64 #s(literal 2 binary64) z)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y))) (.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y))))))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y))) (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (hypot.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y))) (.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)))) (fma.f64 #s(literal 2 binary64) z (pow.f64 #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y))) (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y))) (.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)))) (fma.f64 #s(literal 2 binary64) z (pow.f64 #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)) #s(literal 3 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y))))))
(/.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)) #s(literal 3 binary64))) (-.f64 (hypot.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y))) (.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) z) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) z) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 #s(literal 512 binary64) (pow.f64 z #s(literal 18 binary64)) #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) z) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) z) #s(literal 3/2 binary64)) #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 (pow.f64 z #s(literal 9 binary64)) (.f64 #s(literal 2 binary64) z) #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 (neg.f64 (neg.f64 z)) z (fma.f64 z z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y))))
(fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 z) z) (fma.f64 z z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y))))
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 binary64) #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64)) #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 8 binary64) #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) z) #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 (.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 9 binary64)) #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 (.f64 #s(literal 2 binary64) z) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 (.f64 #s(literal 2 binary64) z) (pow.f64 z #s(literal 3 binary64)) #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 (neg.f64 z) (neg.f64 z) (fma.f64 z z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y))))
(fma.f64 #s(literal 2 binary64) (.f64 z z) #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 #s(literal 2 binary64) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 (.f64 z z) #s(literal 2 binary64) #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 z (neg.f64 (neg.f64 z)) (fma.f64 z z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y))))
(fma.f64 z (.f64 #s(literal 2 binary64) z) #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 z #s(literal 2 binary64) #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(fma.f64 z z (fma.f64 z z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y))))
(-.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)))) (/.f64 (pow.f64 #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))))
(+.f64 (+.f64 #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)) (.f64 z z)) (*.f64 z z))
(+.f64 (.f64 #s(literal 2 binary64) z) #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y)))
(+.f64 #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z y) z x) y)) (.f64 #s(literal 2 binary64) z))
(+.f64 (.f64 z z) (fma.f64 z z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z y) z x) y))))
(.f64 (.f64 y x) y)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(.f64 x (.f64 y y))
(.f64 (.f64 (neg.f64 x) (*.f64 y y)) x)
(.f64 (.f64 (.f64 (.f64 y y) x) #s(literal -1 binary64)) x)
(.f64 (neg.f64 (.f64 (*.f64 y y) x)) x)
(.f64 (.f64 (neg.f64 x) x) (*.f64 y y))
(.f64 (.f64 (neg.f64 y) x) (*.f64 y x))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))
(.f64 (neg.f64 x) (.f64 (*.f64 y y) x))
(.f64 (.f64 (*.f64 y y) x) (neg.f64 x))
(.f64 (.f64 y y) (*.f64 (neg.f64 x) x))
(.f64 y (.f64 (*.f64 y x) (neg.f64 x)))
(.f64 y (.f64 y (*.f64 (neg.f64 x) x)))
(.f64 x (.f64 (*.f64 y y) (neg.f64 x)))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))

eval232.0ms (3%)

Memory: 6.5MiB live, 200.3MiB allocated
Compiler: Compiled 22 862 to 1 701 computations (92.6% saved)

prune141.0ms (1.8%)

Memory

-22.4MiB live, 66.6MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	1 076	3	1 079
Fresh	0	0	0
Picked	2	2	4
Done	0	6	6
Total	1 078	11	1 089

Accuracy

100.0%

Counts

1 089 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.8%	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z y) x) y)))
✓	98.7%	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y))
	15.1%	(fma.f64 (.f64 #s(literal 2 binary64) z) z (/.f64 #s(approx (- ( (* (* y y) x) (neg x)) (neg (pow z 4))) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x y)))))
✓	51.1%	(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
	77.0%	(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x)))
✓	76.3%	(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
✓	98.7%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	97.6%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
✓	51.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	51.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	53.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 322 to 149 computations (53.7% saved)

regimes39.0ms (0.5%)

Memory

13.5MiB live, 90.0MiB allocated

Counts

19 → 1

Calls

Call 1

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

Outputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))

Calls

6 calls:

8.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
8.0ms	x
6.0ms	y
6.0ms	(*.f64 x y)
6.0ms	z

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`z`
98.8%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
98.8%	1	`(*.f64 x y)`
98.8%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes29.0ms (0.4%)

Memory

-8.1MiB live, 72.6MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x)))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 z z)))
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y))

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))

Calls

6 calls:

6.0ms	x
5.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
4.0ms	z
4.0ms	y
4.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`y`
98.7%	1	`z`
98.7%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
98.7%	1	`(*.f64 x y)`
98.7%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes19.0ms (0.2%)

Memory

11.6MiB live, 50.9MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x)))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
80.8%	3	`x`
77.0%	1	`y`
85.3%	2	`z`
82.3%	3	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
81.8%	3	`(*.f64 x y)`
85.3%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes5.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x)))

Outputs
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 y x)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))

Calls

2 calls:

3.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
85.3%	2	`z`
85.3%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes6.0ms (0.1%)

Memory

-23.4MiB live, 15.9MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (.f64 y x)) (.f64 z z))

Outputs
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))

Calls

2 calls:

3.0ms	(*.f64 z z)
2.0ms	z

Results

Accuracy	Segments	Branch
85.1%	2	`z`
85.1%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes4.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))

#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))

Calls

2 calls:

2.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
84.1%	2	`z`
84.1%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes9.0ms (0.1%)

Memory

-14.8MiB live, 24.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

2.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
1.0ms	z
1.0ms	y
1.0ms	x
1.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
53.9%	1	`y`
53.9%	1	`x`
53.9%	1	`(*.f64 x y)`
53.9%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
53.9%	1	`z`
53.9%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6179578934614324e+31	1.9738299550022443e+37

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6179578934614324e+31	1.9738299550022443e+37

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6179578934614324e+31	1.9738299550022443e+37

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	23678066493748126000.0	2.4065197777157045e+27

Compiler

Compiled 14 to 14 computations (0% saved)

simplify27.0ms (0.4%)

Memory

-10.8MiB live, 69.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	226
1	43	226

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999999271792589930496 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (.f64 y x))) (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999999271792589930496 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (.f64 y x))) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999999271792589930496 binary64)) (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 x y))) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 40000000000000000000 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Outputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
(fma.f64 (.f64 z #s(literal 2 binary64)) z (fma.f64 z z (.f64 x y)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999999271792589930496 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (.f64 y x))) (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999999271792589930496 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (.f64 x y))) (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999999271792589930496 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (.f64 y x))) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999999271792589930496 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ ( z z) (* y x)) (.f64 x y))) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999999271792589930496 binary64)) (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 x y))) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999999271792589930496 binary64)) (fma.f64 z z #s(approx (+ (+ ( x y) (* z z)) (* z z)) (.f64 x y))) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 (.f64 z z) #s(literal 40000000000000000000 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 40000000000000000000 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))

soundness1.3s (17.2%)

Memory

15.9MiB live, 854.1MiB allocated

Rules

12 516×	`lower-fma.f64`
12 516×	`lower-fma.f32`
10 458×	`lower-fma.f64`
10 458×	`lower-fma.f32`
8 096×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	3031
1	354	3004
2	1011	3004
3	4215	3004
0	8641	2788
0	70	880
1	244	880
2	750	880
3	2132	880
4	5893	880
0	8201	799
0	87	2184
1	304	2184
2	916	2184
3	2500	2184
4	6203	2184
0	8479	1995
0	25	119
0	39	119
1	159	113
2	1243	106
0	8329	100
0	560	5290
1	1894	5199
2	6062	5145
0	8211	4766
0	30	182
0	53	161
1	240	125
2	2024	125
0	9179	115
0	8	39
0	13	39
1	55	35
2	517	29
3	7580	29
0	8184	26

Stop Event

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

Compiler

Compiled 460 to 223 computations (51.5% saved)

preprocess142.0ms (1.8%)

Memory

7.6MiB live, 127.2MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 432 to 222 computations (48.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample844.0ms (10.9%)

explain105.0ms (1.4%)

preprocess78.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize19.0ms (0.2%)

series57.0ms (0.7%)

simplify301.0ms (3.9%)

rewrite521.0ms (6.7%)

eval82.0ms (1.1%)

prune33.0ms (0.4%)

simplify207.0ms (2.7%)

localize134.0ms (1.7%)

series51.0ms (0.7%)

simplify323.0ms (4.2%)

rewrite545.0ms (7%)

eval381.0ms (4.9%)

prune177.0ms (2.3%)

simplify6.0ms (0.1%)

localize76.0ms (1%)

series35.0ms (0.5%)

simplify178.0ms (2.3%)

rewrite372.0ms (4.8%)

eval100.0ms (1.3%)

prune23.0ms (0.3%)

simplify275.0ms (3.6%)

localize288.0ms (3.7%)

series93.0ms (1.2%)

simplify246.0ms (3.2%)

rewrite195.0ms (2.5%)

eval232.0ms (3%)

prune141.0ms (1.8%)

regimes39.0ms (0.5%)

regimes29.0ms (0.4%)

regimes19.0ms (0.2%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify27.0ms (0.4%)

soundness1.3s (17.2%)

preprocess142.0ms (1.8%)

end0.0ms (0%)

Profiling