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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

sample967.0ms (9.4%)

Memory

-120.0MiB live, 904.9MiB allocated

Samples

493.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 315.0ms

ival-mult: 207.0ms (65.7% of total)

ival-add: 100.0ms (31.7% of total)

ival-true: 6.0ms (1.9% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

preprocess88.0ms (0.9%)

Memory

-8.2MiB live, 29.5MiB 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 (.f64 z z) #s(literal 3 binary64) (.f64 x y))

Symmetry

(abs z)

(sort x y)

explain416.0ms (4.1%)

Memory

-21.7MiB live, 183.7MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

118.0ms

512×

valid

Compiler

Compiled 124 to 36 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-add: 96.0ms (92.8% of total)

ival-mult: 7.0ms (6.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 18 to 8 computations (55.6% saved)

simplify7.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(+.f64 (.f64 x y) (.f64 z z))
✓	cost-diff	320	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
✓	cost-diff	384	(+.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	31

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

localize24.0ms (0.2%)

Memory

10.8MiB live, 49.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
✓	accuracy	100.0%	(+.f64 (.f64 x y) (.f64 z z))
✓	accuracy	99.9%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Samples

16.0ms

256×

valid

Compiler

Compiled 44 to 10 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-add: 4.0ms (51.1% of total)

ival-mult: 3.0ms (38.4% of total)

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

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

series6.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

4 → 132

Calls

Call 1

Inputs
#<alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))>
#<alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))>
#<alt (+.f64 (.f64 x y) (.f64 z z))>
#<alt (*.f64 x y)>

Outputs
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* x y)>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

33 calls:

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

simplify329.0ms (3.2%)

Memory

-39.0MiB live, 325.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 428×	`lower-fma.f64`
8 428×	`lower-fma.f32`
4 020×	`lower-*.f64`
4 020×	`lower-*.f32`
1 038×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	952
1	244	844
2	752	844
3	2138	844
4	5699	844
0	8153	763

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite430.0ms (4.2%)

Memory

17.9MiB live, 635.6MiB allocated

Algorithm

1×	batch-egg-rewrite

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	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23

Stop Event

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

Counts

4 → 324

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)

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

eval257.0ms (2.5%)

Memory: -20.2MiB live, 93.7MiB allocated
Compiler: Compiled 16 484 to 1 000 computations (93.9% saved)

prune52.0ms (0.5%)

Memory

21.2MiB live, 137.3MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	449	7	456
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	450	7	457

Accuracy

100.0%

Counts

457 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
	17.5%	(fma.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (+.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (.f64 z z) #s(literal 0 binary64))) (fma.f64 x y (.f64 z z)))
▶	99.9%	(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))
▶	99.9%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
	30.2%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))) (.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z))) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))))
▶	57.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	51.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))

Compiler

Compiled 232 to 120 computations (48.3% saved)

simplify10.0ms (0.1%)

Memory

-27.5MiB live, 14.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(+.f64 z z)
✓	cost-diff	0	(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))
✓	cost-diff	64	(+.f64 (+.f64 z z) 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 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	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(fma.f64 x y (*.f64 z z))
✓	cost-diff	0	(+.f64 z z)
✓	cost-diff	256	(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	123
0	34	127
1	59	104
2	67	104
3	70	104
0	70	104

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize61.0ms (0.6%)

Memory

9.9MiB live, 124.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 z z) z)
✓	accuracy	100.0%	(+.f64 z z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 z z))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.7%	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	accuracy	57.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	51.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
✓	accuracy	100.0%	(+.f64 z z)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(fma.f64 x y (*.f64 z z))
✓	accuracy	100.0%	(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))

Samples

33.0ms

256×

valid

Compiler

Compiled 122 to 21 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 11.0ms (56.1% of total)

ival-add: 8.0ms (40.8% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

12 → 300

Calls

Call 1

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

Outputs
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* z (+ z (* 2 z)))>
#<alt (+ (* x y) (* z (+ z (* 2 z))))>
#<alt (+ (* x y) (* z (+ z (* 2 z))))>
#<alt (+ (* x y) (* z (+ z (* 2 z))))>
#<alt (* x y)>
#<alt (* x (+ y (/ (* z (+ z (* 2 z))) x)))>
#<alt (* x (+ y (/ (* z (+ z (* 2 z))) x)))>
#<alt (* x (+ y (/ (* z (+ z (* 2 z))) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* z (+ z (* 2 z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* z (+ z (* 2 z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* z (+ z (* 2 z))) x)))))>
#<alt (* z (+ z (* 2 z)))>
#<alt (+ (* x y) (* z (+ z (* 2 z))))>
#<alt (+ (* x y) (* z (+ z (* 2 z))))>
#<alt (+ (* x y) (* z (+ z (* 2 z))))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* z (+ z (* 2 z))) y)))>
#<alt (* y (+ x (/ (* z (+ z (* 2 z))) y)))>
#<alt (* y (+ x (/ (* z (+ z (* 2 z))) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ z (* 2 z))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ z (* 2 z))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ z (* 2 z))) y)))))>

Calls

75 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(+ z z)
0.0ms	z	@	inf	(* (* z z) 3)
0.0ms	x	@	0	(+ (* z (+ (+ z z) z)) (* x y))
0.0ms	z	@	inf	(+ (* z (+ (+ z z) z)) (* x y))
0.0ms	z	@	inf	(+ (* (+ z z) z) (+ (* x y) (* z z)))

simplify394.0ms (3.8%)

Memory

-10.8MiB live, 390.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 332×	`lower-fma.f64`
7 332×	`lower-fma.f32`
3 572×	`lower-*.f64`
3 572×	`lower-*.f32`
828×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	1906
1	317	1906
2	981	1906
3	2528	1906
4	6216	1906
0	8252	1744

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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

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

rewrite105.0ms (1%)

Memory

-0.6MiB live, 194.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 130×	`lower-fma.f32`
2 122×	`lower-fma.f64`
608×	`lower-*.f32`
600×	`lower-*.f64`
450×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	97
0	34	101
1	145	78
0	1419	78

Stop Event

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

Counts

12 → 404

Calls

Call 1

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

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

eval122.0ms (1.2%)

Memory: 31.7MiB live, 182.6MiB allocated
Compiler: Compiled 13 462 to 669 computations (95% saved)

prune111.0ms (1.1%)

Memory

-33.4MiB live, 140.7MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	830	4	834
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	833	8	841

Accuracy

100.0%

Counts

841 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.3%	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
▶	38.4%	(fma.f64 z (+.f64 (/.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64))) z) (.f64 x y))
✓	99.9%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	30.2%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))) (.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z))) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))))
▶	33.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (+.f64 z z)))
✓	57.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	57.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	51.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))

Compiler

Compiled 193 to 101 computations (47.7% saved)

simplify459.0ms (4.5%)

Memory

42.2MiB live, 511.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))))
✓	cost-diff	64	(fma.f64 z z #s(literal 0 binary64))
✓	cost-diff	2752	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))) (.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z))) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))))
✓	cost-diff	0	(fma.f64 z (+.f64 (/.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64))) z) (.f64 x y))
✓	cost-diff	64	(fma.f64 z z #s(literal 0 binary64))
✓	cost-diff	64	(+.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64))) z)
✓	cost-diff	1664	(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64)))
✓	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))
✓	cost-diff	0	(+.f64 z z)
✓	cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (+.f64 z z)))
✓	cost-diff	64	(fma.f64 z z (+.f64 z z))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	#s(approx (+ (* x y) (* z z)) (*.f64 z z))
✓	cost-diff	0	(+.f64 z z)
✓	cost-diff	0	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))

Rules

11 650×	`lower-fma.f32`
11 638×	`lower-fma.f64`
5 764×	`lower-*.f32`
5 748×	`lower-*.f64`
1 872×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	251
0	53	207
1	115	193
2	335	173
3	1186	173
4	2767	173
5	4947	173
6	5700	173
7	6181	173
8	6445	173
9	6860	173
10	7496	173
0	8075	173

Stop Event

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

Calls

Call 1

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

Outputs
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
(fma.f64 z (+.f64 z z) #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
(+.f64 z z)
z
#s(approx (+ (* x y) (* z z)) (*.f64 z z))
(*.f64 z z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (+.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 z (+.f64 z #s(literal 2 binary64))))
(fma.f64 z z (+.f64 z z))
(*.f64 z (+.f64 z #s(literal 2 binary64)))
z
(+.f64 z z)
#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 z (.f64 z #s(literal 3 binary64))))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 z (.f64 z #s(literal 3 binary64)))
(*.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
(fma.f64 z (+.f64 (/.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64))) z) (.f64 x y))
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
z
(+.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64))) z)
(*.f64 z #s(literal 3 binary64))
(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64)))
(+.f64 z z)
(*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))
(.f64 z (.f64 z (+.f64 z z)))
(fma.f64 z z #s(literal 0 binary64))
(*.f64 z z)
#s(literal 0 binary64)
(+.f64 z z)
(*.f64 x y)
x
y
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))) (.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z))) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))))
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
(/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 z z)))
#s(literal 1 binary64)
(fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 x y (*.f64 z z))
x
y
(fma.f64 z z #s(literal 0 binary64))
(*.f64 z z)
z
#s(literal 0 binary64)
(.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (*.f64 z z))) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))))
(.f64 (fma.f64 x y (.f64 z z)) (fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y)))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 z (.f64 z #s(literal 3 binary64)))
#s(literal 3 binary64)
(*.f64 z z)

localize117.0ms (1.1%)

Memory

-45.3MiB live, 203.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (*.f64 z z))) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))))
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 z z))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))))
✓	accuracy	38.7%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))) (.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z))) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(fma.f64 z (+.f64 (/.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64))) z) (.f64 x y))
✓	accuracy	99.9%	(*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))
✓	accuracy	34.5%	(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64)))
✓	accuracy	100.0%	(*.f64 z #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 z #s(literal 3 binary64)) z)
✓	accuracy	57.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	accuracy	100.0%	(fma.f64 z z (+.f64 z z))
✓	accuracy	100.0%	(+.f64 z z)
✓	accuracy	33.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (+.f64 z z)))
✓	accuracy	100.0%	(+.f64 z z)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
✓	accuracy	57.3%	#s(approx (+ (* x y) (* z z)) (*.f64 z z))

Samples

42.0ms	167×	0	valid
32.0ms	89×	1	valid

Compiler

Compiled 257 to 31 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-add: 24.0ms (44.8% of total)

ival-mult: 18.0ms (33.6% of total)

adjust: 6.0ms (11.2% of total)

ival-div: 6.0ms (11.2% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

35.3MiB live, 35.3MiB allocated

Counts

20 → 468

Calls

Call 1

Inputs
#<alt (fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))>
#<alt (+.f64 z z)>
#<alt #s(approx (+ (* x y) (* z z)) (*.f64 z z))>
#<alt (*.f64 z z)>
#<alt (fma.f64 z z (+.f64 z z))>
#<alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (+.f64 z z)))>
#<alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))>
#<alt (.f64 (.f64 z #s(literal 3 binary64)) z)>
#<alt (*.f64 z #s(literal 3 binary64))>
#<alt (/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64)))>
#<alt (+.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64))) z)>
#<alt (fma.f64 z z #s(literal 0 binary64))>
#<alt (fma.f64 z (+.f64 (/.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64))) z) (.f64 x y))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))) (.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z))) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))))>
#<alt (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))>
#<alt (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))>
#<alt (*.f64 x y)>
#<alt (.f64 #s(literal 3 binary64) (.f64 z z))>
#<alt (.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (*.f64 z z))) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))))>

Outputs
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* 2 z)>
#<alt (* z (+ 2 z))>
#<alt (* z (+ 2 z))>
#<alt (* z (+ 2 z))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* z (+ z (* 2 z)))>
#<alt (+ (* x y) (* z (+ z (* 2 z))))>
#<alt (+ (* x y) (* z (+ z (* 2 z))))>
#<alt (+ (* x y) (* z (+ z (* 2 z))))>
#<alt (* x y)>
#<alt (* x (+ y (/ (* z (+ z (* 2 z))) x)))>
#<alt (* x (+ y (/ (* z (+ z (* 2 z))) x)))>
#<alt (* x (+ y (/ (* z (+ z (* 2 z))) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* z (+ z (* 2 z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* z (+ z (* 2 z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* z (+ z (* 2 z))) x)))))>
#<alt (* z (+ z (* 2 z)))>
#<alt (+ (* x y) (* z (+ z (* 2 z))))>
#<alt (+ (* x y) (* z (+ z (* 2 z))))>
#<alt (+ (* x y) (* z (+ z (* 2 z))))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* z (+ z (* 2 z))) y)))>
#<alt (* y (+ x (/ (* z (+ z (* 2 z))) y)))>
#<alt (* y (+ x (/ (* z (+ z (* 2 z))) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ z (* 2 z))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ z (* 2 z))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ z (* 2 z))) y)))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (/ 1 (pow z 2))>
#<alt (+ (* -1 (/ (* x y) (pow z 4))) (/ 1 (pow z 2)))>
#<alt (+ (* x (- (/ (* x (pow y 2)) (pow z 6)) (/ y (pow z 4)))) (/ 1 (pow z 2)))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 8))) (* -1 (/ (pow y 2) (pow z 6))))) (/ y (pow z 4)))) (/ 1 (pow z 2)))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (* -1 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)>
#<alt (/ (- (+ (/ 1 y) (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 2))))) x)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (/ (pow z 2) (* x (pow y 2))) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow y 3))) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* x (pow y 4))) (/ (pow z 4) (pow y 3))) x)) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x))>
#<alt (/ 1 (pow z 2))>
#<alt (+ (* -1 (/ (* x y) (pow z 4))) (/ 1 (pow z 2)))>
#<alt (+ (* y (- (/ (* (pow x 2) y) (pow z 6)) (/ x (pow z 4)))) (/ 1 (pow z 2)))>
#<alt (+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 8))) (* -1 (/ (pow x 2) (pow z 6))))) (/ x (pow z 4)))) (/ 1 (pow z 2)))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y)>
#<alt (/ (- (+ (/ 1 x) (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ (pow z 2) (* (pow x 2) y))) y)>
#<alt (/ (- (+ (* -1 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ (pow z 2) (* (pow x 2) y)))) y)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (/ (pow z 2) (* (pow x 2) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* (pow x 3) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* (pow x 4) y)) (/ (pow z 4) (pow x 3))) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x)) y))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))>
#<alt (+ (* (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)))>
#<alt (/ 1 (pow z 2))>
#<alt (/ (+ 1 (* -1 (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2))) (pow z 2))>
#<alt (/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ 1 (pow z 2))>
#<alt (/ (+ 1 (* -1 (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2))) (pow z 2))>
#<alt (/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* 2 (pow z 3))>
#<alt (* 2 (pow z 3))>
#<alt (* 2 (pow z 3))>
#<alt (* 2 (pow z 3))>
#<alt (* 2 (pow z 3))>
#<alt (* 2 (pow z 3))>
#<alt (* 2 (pow z 3))>
#<alt (* 2 (pow z 3))>
#<alt (* 2 (pow z 3))>
#<alt (* 2 (pow z 3))>
#<alt (* 2 (pow z 3))>
#<alt (* 2 (pow z 3))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 4))>
#<alt (+ (* 3 (pow z 4)) (* x (+ (* 3 (* y (pow z 2))) (* y (pow z 2)))))>
#<alt (+ (* 3 (pow z 4)) (* x (+ (* 3 (* y (pow z 2))) (+ (* x (pow y 2)) (* y (pow z 2))))))>
#<alt (+ (* 3 (pow z 4)) (* x (+ (* 3 (* y (pow z 2))) (+ (* x (pow y 2)) (* y (pow z 2))))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (* 3 (/ (* y (pow z 2)) x)) (+ (/ (* y (pow z 2)) x) (pow y 2))))>
#<alt (* (pow x 2) (+ (* 3 (/ (* y (pow z 2)) x)) (+ (* 3 (/ (pow z 4) (pow x 2))) (+ (/ (* y (pow z 2)) x) (pow y 2)))))>
#<alt (* (pow x 2) (+ (* 3 (/ (* y (pow z 2)) x)) (+ (* 3 (/ (pow z 4) (pow x 2))) (+ (/ (* y (pow z 2)) x) (pow y 2)))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -3 (* y (pow z 2))) (* -1 (* y (pow z 2)))) x)) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -3 (* y (pow z 2))) (+ (* -3 (/ (pow z 4) x)) (* -1 (* y (pow z 2))))) x)) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -3 (* y (pow z 2))) (+ (* -3 (/ (pow z 4) x)) (* -1 (* y (pow z 2))))) x)) (pow y 2)))>
#<alt (* 3 (pow z 4))>
#<alt (+ (* 3 (pow z 4)) (* y (+ (* 3 (* x (pow z 2))) (* x (pow z 2)))))>
#<alt (+ (* 3 (pow z 4)) (* y (+ (* 3 (* x (pow z 2))) (+ (* x (pow z 2)) (* (pow x 2) y)))))>
#<alt (+ (* 3 (pow z 4)) (* y (+ (* 3 (* x (pow z 2))) (+ (* x (pow z 2)) (* (pow x 2) y)))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* 3 (/ (* x (pow z 2)) y)) (+ (/ (* x (pow z 2)) y) (pow x 2))))>
#<alt (* (pow y 2) (+ (* 3 (/ (* x (pow z 2)) y)) (+ (* 3 (/ (pow z 4) (pow y 2))) (+ (/ (* x (pow z 2)) y) (pow x 2)))))>
#<alt (* (pow y 2) (+ (* 3 (/ (* x (pow z 2)) y)) (+ (* 3 (/ (pow z 4) (pow y 2))) (+ (/ (* x (pow z 2)) y) (pow x 2)))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -3 (* x (pow z 2))) (* -1 (* x (pow z 2)))) y)) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -3 (* x (pow z 2))) (+ (* -3 (/ (pow z 4) y)) (* -1 (* x (pow z 2))))) y)) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -3 (* x (pow z 2))) (+ (* -3 (/ (pow z 4) y)) (* -1 (* x (pow z 2))))) y)) (pow x 2)))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (+ (* (pow x 2) (pow y 2)) (* (pow z 2) (+ (* 3 (* x y)) (* x y))))>
#<alt (+ (* (pow x 2) (pow y 2)) (* (pow z 2) (+ (* 3 (* x y)) (+ (* 3 (pow z 2)) (* x y)))))>
#<alt (+ (* (pow x 2) (pow y 2)) (* (pow z 2) (+ (* 3 (* x y)) (+ (* 3 (pow z 2)) (* x y)))))>
#<alt (* 3 (pow z 4))>
#<alt (* (pow z 4) (+ 3 (+ (* 3 (/ (* x y) (pow z 2))) (/ (* x y) (pow z 2)))))>
#<alt (* (pow z 4) (+ 3 (+ (* 3 (/ (* x y) (pow z 2))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))>
#<alt (* (pow z 4) (+ 3 (+ (* 3 (/ (* x y) (pow z 2))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))>
#<alt (* 3 (pow z 4))>
#<alt (* (pow z 4) (+ 3 (+ (* 3 (/ (* x y) (pow z 2))) (/ (* x y) (pow z 2)))))>
#<alt (* (pow z 4) (+ 3 (+ (* 3 (/ (* x y) (pow z 2))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))>
#<alt (* (pow z 4) (+ 3 (+ (* 3 (/ (* x y) (pow z 2))) (+ (/ (* x y) (pow z 2)) (/ (* (pow x 2) (pow y 2)) (pow z 4))))))>

Calls

117 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(* (/ 1 (+ (* x y) (+ (* z z) 0))) (* (+ (* x y) (* 3 (* z z))) (+ (* x y) (+ (* z z) 0))))
1.0ms	z	@	inf	(/ 1 (+ (* x y) (+ (* z z) 0)))
0.0ms	z	@	0	(/ 1 (+ (* x y) (+ (* z z) 0)))
0.0ms	y	@	inf	(/ 1 (+ (* x y) (+ (* z z) 0)))
0.0ms	x	@	inf	(/ 1 (+ (* x y) (+ (* z z) 0)))

simplify541.0ms (5.3%)

Memory

3.6MiB live, 795.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 860×	`lower-fma.f64`
14 860×	`lower-fma.f32`
5 348×	`lower-*.f64`
5 348×	`lower-*.f32`
3 804×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	344	4273
1	1127	4113
2	3446	4077
0	8472	3829

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

rewrite528.0ms (5.1%)

Memory

11.0MiB live, 719.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 322×	`lower-/.f32`
3 320×	`lower-/.f64`
3 100×	`lower-*.f32`
3 092×	`lower-*.f64`
2 108×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	216
0	53	119
1	247	65
2	3367	65
0	8139	65

Stop Event

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

Counts

20 → 1 195

Calls

Call 1

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

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

eval354.0ms (3.4%)

Memory: 16.4MiB live, 596.2MiB allocated
Compiler: Compiled 95 012 to 3 849 computations (95.9% saved)

prune490.0ms (4.8%)

Memory

-18.1MiB live, 408.0MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1 937	6	1 943
Fresh	0	0	0
Picked	3	2	5
Done	0	3	3
Total	1 940	11	1 951

Accuracy

100.0%

Counts

1 951 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.3%	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
▶	38.1%	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)))
✓	99.9%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
	13.3%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))) (.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z))) #s(approx (+ (* x y) (+ (* z z) 0)) (*.f64 z z))))
✓	57.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	57.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
▶	94.4%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x)))
✓	51.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
▶	33.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64)))))
▶	37.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))
▶	6.4%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(literal 0 binary64))

Compiler

Compiled 194 to 113 computations (41.8% saved)

simplify509.0ms (5%)

Memory

-33.7MiB live, 650.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (+ (* x y) (* z z)) #s(literal 0 binary64))
✓	cost-diff	0	(+.f64 z z)
✓	cost-diff	0	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)))
✓	cost-diff	0	(+.f64 z #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 z (+.f64 z #s(literal 2 binary64)))
✓	cost-diff	0	#s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64))))
✓	cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64)))))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	#s(approx (+ (* z z) (+ z z)) (*.f64 z z))
✓	cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))
✓	cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(literal 0 binary64))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(fma.f64 (*.f64 z z) (/.f64 #s(literal 3 binary64) y) x)
✓	cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x)))
✓	cost-diff	704	(.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x))

Rules

17 048×	`lower-fma.f32`
17 044×	`lower-fma.f64`
6 414×	`lower-*.f32`
6 408×	`lower-*.f64`
4 818×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	194
0	39	191
1	70	181
2	115	161
3	173	160
4	231	160
5	400	160
6	1192	160
7	2702	160
8	4932	160
9	5340	160
10	5707	160
11	5870	160
12	6024	160
13	6206	160
0	9500	152

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 y (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x)))
(.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x))
y
(fma.f64 (*.f64 z z) (/.f64 #s(literal 3 binary64) y) x)
(*.f64 z z)
z
(/.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
x
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))
#s(approx (+ (* z z) (+ z z)) (*.f64 z z))
(*.f64 z z)
z
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64)))))
#s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64))))
(*.f64 z (+.f64 z #s(literal 2 binary64)))
z
(+.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)))
(+.f64 z z)
z
#s(approx (+ (* x y) (* z z)) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64))))
(.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
y
(fma.f64 (*.f64 z z) (/.f64 #s(literal 3 binary64) y) x)
(fma.f64 z (*.f64 z (/.f64 #s(literal 3 binary64) y)) x)
(*.f64 z z)
z
(/.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
x
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))
#s(approx (+ (* z z) (+ z z)) (*.f64 z z))
(*.f64 z z)
z
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64)))))
#s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64))))
(*.f64 z (+.f64 z #s(literal 2 binary64)))
z
(+.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)))
(fma.f64 z (+.f64 z z) #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)))
(+.f64 z z)
z
#s(approx (+ (* x y) (* z z)) #s(literal 0 binary64))
#s(literal 0 binary64)

localize61.0ms (0.6%)

Memory

28.7MiB live, 143.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 z z)
✓	accuracy	100.0%	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)))
✓	accuracy	6.4%	#s(approx (+ (* x y) (* z z)) #s(literal 0 binary64))
✓	accuracy	100.0%	(+.f64 z #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 z (+.f64 z #s(literal 2 binary64)))
✓	accuracy	100.0%	#s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64))))
✓	accuracy	33.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64)))))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	53.9%	#s(approx (+ (* z z) (+ z z)) (*.f64 z z))
✓	accuracy	33.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))
✓	accuracy	6.4%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x)))
✓	accuracy	94.4%	(.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x))
✓	accuracy	92.6%	(fma.f64 (*.f64 z z) (/.f64 #s(literal 3 binary64) y) x)

Samples

34.0ms

256×

valid

Compiler

Compiled 146 to 23 computations (84.2% saved)

Precisions

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

ival-add: 10.0ms (47.8% of total)

ival-mult: 9.0ms (43.1% of total)

ival-div: 2.0ms (9.6% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-9.7MiB live, 29.5MiB allocated

Counts

14 → 360

Calls

Call 1

Inputs
#<alt (.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x))>
#<alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x)))>
#<alt (fma.f64 (*.f64 z z) (/.f64 #s(literal 3 binary64) y) x)>
#<alt (*.f64 z z)>
#<alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(literal 0 binary64))>
#<alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))>
#<alt #s(approx (+ (* z z) (+ z z)) (*.f64 z z))>
#<alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64)))))>
#<alt #s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 z (+.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 z #s(literal 2 binary64))>
#<alt (fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)))>
#<alt (+.f64 z z)>
#<alt #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64))>

Outputs
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt x>
#<alt (+ x (* 3 (/ (pow z 2) y)))>
#<alt (+ x (* 3 (/ (pow z 2) y)))>
#<alt (+ x (* 3 (/ (pow z 2) y)))>
#<alt (* 3 (/ (pow z 2) y))>
#<alt (* (pow z 2) (+ (* 3 (/ 1 y)) (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ (* 3 (/ 1 y)) (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ (* 3 (/ 1 y)) (/ x (pow z 2))))>
#<alt (* 3 (/ (pow z 2) y))>
#<alt (* (pow z 2) (+ (* 3 (/ 1 y)) (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ (* 3 (/ 1 y)) (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ (* 3 (/ 1 y)) (/ x (pow z 2))))>
#<alt (* 3 (/ (pow z 2) y))>
#<alt (/ (+ (* 3 (pow z 2)) (* x y)) y)>
#<alt (/ (+ (* 3 (pow z 2)) (* x y)) y)>
#<alt (/ (+ (* 3 (pow z 2)) (* x y)) y)>
#<alt x>
#<alt (+ x (* 3 (/ (pow z 2) y)))>
#<alt (+ x (* 3 (/ (pow z 2) y)))>
#<alt (+ x (* 3 (/ (pow z 2) y)))>
#<alt x>
#<alt (+ x (* 3 (/ (pow z 2) y)))>
#<alt (+ x (* 3 (/ (pow z 2) y)))>
#<alt (+ x (* 3 (/ (pow z 2) y)))>
#<alt (* 3 (/ (pow z 2) y))>
#<alt (+ x (* 3 (/ (pow z 2) y)))>
#<alt (+ x (* 3 (/ (pow z 2) y)))>
#<alt (+ x (* 3 (/ (pow z 2) y)))>
#<alt x>
#<alt (* x (+ 1 (* 3 (/ (pow z 2) (* x y)))))>
#<alt (* x (+ 1 (* 3 (/ (pow z 2) (* x y)))))>
#<alt (* x (+ 1 (* 3 (/ (pow z 2) (* x y)))))>
#<alt x>
#<alt (* -1 (* x (- (* -3 (/ (pow z 2) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -3 (/ (pow z 2) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -3 (/ (pow z 2) (* x y))) 1)))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 2 z)>
#<alt (* z (+ 2 z))>
#<alt (* z (+ 2 z))>
#<alt (* z (+ 2 z))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 2 z)>
#<alt (* z (+ 2 z))>
#<alt (* z (+ 2 z))>
#<alt (* z (+ 2 z))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (* 2 z)>
#<alt (* z (+ 2 z))>
#<alt (* z (+ 2 z))>
#<alt (* z (+ 2 z))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt 2>
#<alt (+ 2 z)>
#<alt (+ 2 z)>
#<alt (+ 2 z)>
#<alt z>
#<alt (* z (+ 1 (* 2 (/ 1 z))))>
#<alt (* z (+ 1 (* 2 (/ 1 z))))>
#<alt (* z (+ 1 (* 2 (/ 1 z))))>
#<alt z>
#<alt (* z (+ 1 (* 2 (/ 1 z))))>
#<alt (* z (+ 1 (* 2 (/ 1 z))))>
#<alt (* z (+ 1 (* 2 (/ 1 z))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>

Calls

90 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(* y (+ (* (* z z) (/ 3 y)) x))
1.0ms	y	@	0	(* y (+ (* (* z z) (/ 3 y)) x))
1.0ms	z	@	inf	(* y (+ (* (* z z) (/ 3 y)) x))
0.0ms	y	@	inf	(* y (+ (* (* z z) (/ 3 y)) x))
0.0ms	z	@	0	(* y (+ (* (* z z) (/ 3 y)) x))

simplify343.0ms (3.3%)

Memory

17.7MiB live, 461.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 676×	`lower-fma.f64`
8 676×	`lower-fma.f32`
3 472×	`lower-*.f64`
3 472×	`lower-*.f32`
1 274×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	2430
1	317	2430
2	925	2430
3	3115	2430
4	6444	2430
0	8177	2214

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 353

Calls

Call 1

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

rewrite410.0ms (4%)

Memory

-29.2MiB live, 207.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 576×	`lower-*.f32`
3 570×	`lower-*.f64`
3 076×	`lower-fma.f32`
3 074×	`lower-fma.f64`
3 026×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	178
0	39	170
1	164	145
2	1457	141
0	10082	124

Stop Event

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

Counts

14 → 181

Calls

Call 1

Inputs
(.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x)))
(fma.f64 (*.f64 z z) (/.f64 #s(literal 3 binary64) y) x)
(*.f64 z z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))
#s(approx (+ (* z z) (+ z z)) (*.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64)))))
#s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64))))
(*.f64 z (+.f64 z #s(literal 2 binary64)))
(+.f64 z #s(literal 2 binary64))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)))
(+.f64 z z)
#s(approx (+ (* x y) (* z z)) #s(literal 0 binary64))

Outputs
(+.f64 (.f64 y x) (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 z z) y)))
(+.f64 (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 z z) y)) (.f64 y x))
(-.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 z z) y)) (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 z z) y))) (-.f64 (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 z z) y)) (.f64 y x))) (/.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 z z) y)) (.f64 y x))))
(fma.f64 y x (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (*.f64 z z) y)))
(fma.f64 y (/.f64 (.f64 z z) (.f64 y #s(literal 1/3 binary64))) (*.f64 y x))
(fma.f64 z (.f64 (/.f64 z (.f64 y #s(literal 1/3 binary64))) y) (*.f64 y x))
(fma.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 z z) y) (*.f64 y x))
(fma.f64 x y (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (*.f64 z z) y)))
(fma.f64 (.f64 z z) (.f64 (/.f64 #s(literal 3 binary64) y) y) (*.f64 y x))
(fma.f64 (/.f64 (.f64 z z) (.f64 y #s(literal 1/3 binary64))) y (*.f64 y x))
(fma.f64 (.f64 y z) (/.f64 z (.f64 y #s(literal 1/3 binary64))) (*.f64 y x))
(fma.f64 (.f64 y (/.f64 #s(literal 3 binary64) y)) (.f64 z z) (*.f64 y x))
(fma.f64 (.f64 y (.f64 z z)) (/.f64 #s(literal 3 binary64) y) (*.f64 y x))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64)) (.f64 y (.f64 y y))) (.f64 y (.f64 y y)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (fma.f64 (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 z z) y)) (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 z z) y)) (-.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 z z) y)) (*.f64 y x)))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 z z) y)) (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 z z) y))) (.f64 y (.f64 x (.f64 y x)))) (-.f64 (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 z z) y)) (.f64 y x)))
(/.f64 (.f64 y (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (/.f64 #s(literal 27 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x)))) (fma.f64 x (-.f64 x (/.f64 (.f64 z z) (.f64 y #s(literal 1/3 binary64)))) (/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z))) (.f64 y y))))
(/.f64 (.f64 y (-.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z))) (.f64 y y)) (.f64 x x))) (fma.f64 z (/.f64 z (*.f64 y #s(literal 1/3 binary64))) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (/.f64 #s(literal 27 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) y) (fma.f64 x (-.f64 x (/.f64 (.f64 z z) (.f64 y #s(literal 1/3 binary64)))) (/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z))) (.f64 y y))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z))) (.f64 y y)) (.f64 x x)) y) (fma.f64 z (/.f64 z (*.f64 y #s(literal 1/3 binary64))) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64)) (.f64 y (.f64 y y))) (.f64 y (.f64 y y)) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))))) (neg.f64 (fma.f64 (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 z z) y)) (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 z z) y)) (-.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 z z) y)) (*.f64 y x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 z z) y)) (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 z z) y))) (.f64 y (.f64 x (.f64 y x))))) (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 z z) y)) (.f64 y x))))
(/.f64 (neg.f64 (.f64 y (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (/.f64 #s(literal 27 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 z z) (.f64 y #s(literal 1/3 binary64)))) (/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z))) (.f64 y y)))))
(/.f64 (neg.f64 (.f64 y (-.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z))) (.f64 y y)) (.f64 x x)))) (neg.f64 (fma.f64 z (/.f64 z (*.f64 y #s(literal 1/3 binary64))) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (/.f64 #s(literal 27 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) y)) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 z z) (.f64 y #s(literal 1/3 binary64)))) (/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z))) (.f64 y y)))))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z))) (.f64 y y)) (.f64 x x)) y)) (neg.f64 (fma.f64 z (/.f64 z (*.f64 y #s(literal 1/3 binary64))) (neg.f64 x))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 (/.f64 (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64)) (.f64 y (.f64 y y))) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 x (.f64 y x)) (-.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 z z) y)) (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (.f64 z z) y))) (.f64 (.f64 y x) (.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (*.f64 z z) y))))))
(.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) y) x))
(.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) y) x) y)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) y) x)))
(+.f64 x (/.f64 (.f64 z z) (.f64 y #s(literal 1/3 binary64))))
(+.f64 (/.f64 (.f64 z z) (.f64 y #s(literal 1/3 binary64))) x)
(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z))) (.f64 y y)) (fma.f64 z (/.f64 z (.f64 y #s(literal 1/3 binary64))) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 z (/.f64 z (*.f64 y #s(literal 1/3 binary64))) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 z z) (.f64 y #s(literal 1/3 binary64))))) (/.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z))) (.f64 y y)) (-.f64 x (/.f64 (.f64 z z) (*.f64 y #s(literal 1/3 binary64))))))
(fma.f64 z (/.f64 z (*.f64 y #s(literal 1/3 binary64))) x)
(fma.f64 #s(literal 3 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 z z)) x)
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) y) x)
(fma.f64 (/.f64 #s(literal 3 binary64) y) (*.f64 z z) x)
(fma.f64 (*.f64 z z) (/.f64 #s(literal 3 binary64) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 z z) #s(literal 1/3 binary64)) x)
(fma.f64 (/.f64 z (*.f64 y #s(literal 1/3 binary64))) z x)
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (/.f64 z y) (/.f64 z #s(literal 1/3 binary64)) x)
(fma.f64 (/.f64 (*.f64 z z) #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) y) x)
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
(/.f64 (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (/.f64 #s(literal 27 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x (/.f64 (.f64 z z) (.f64 y #s(literal 1/3 binary64)))) (/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z))) (*.f64 y y))))
(/.f64 (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (/.f64 #s(literal 27 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (fma.f64 x x (/.f64 (-.f64 (.f64 (/.f64 (.f64 z z) (.f64 y #s(literal 1/3 binary64))) (.f64 #s(literal 3 binary64) (.f64 z z))) (.f64 (.f64 #s(literal 3 binary64) (*.f64 z z)) x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 z z) (.f64 y #s(literal 1/3 binary64)))) (/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z))) (.f64 y y))) (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (/.f64 #s(literal 27 binary64) (.f64 y (.f64 y y))) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 z (.f64 y #s(literal 1/3 binary64))) (neg.f64 x)) (-.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z))) (.f64 y y)) (.f64 x x))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z))) (.f64 y y)) (.f64 x x)) (fma.f64 z (/.f64 z (.f64 y #s(literal 1/3 binary64))) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 z z) (.f64 y #s(literal 1/3 binary64)))) (/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z))) (.f64 y y))) (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (/.f64 #s(literal 27 binary64) (.f64 y (.f64 y y))) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (/.f64 z (.f64 y #s(literal 1/3 binary64))) (neg.f64 x)) (-.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z))) (.f64 y y)) (.f64 x x)))))
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(/.f64 (neg.f64 (fma.f64 #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)) (.f64 #s(approx (+ ( x y) (* z z)) #s(literal 0 binary64)) #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64))) #s(literal 0 binary64))) (neg.f64 (fma.f64 #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)) (-.f64 #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)) (.f64 #s(approx (+ ( x y) (* z z)) #s(literal 0 binary64)) #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64))) #s(literal 0 binary64))) (neg.f64 (fma.f64 #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)) #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (.f64 #s(approx (+ ( x y) (* z z)) #s(literal 0 binary64)) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(approx (+ ( x y) (* z z)) #s(literal 0 binary64)) #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 #s(approx (+ ( x y) (* z z)) #s(literal 0 binary64)) #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) #s(approx (+ ( x y) (* z z)) #s(literal 0 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) #s(approx (+ ( x y) (* z z)) #s(literal 0 binary64))) (.f64 #s(approx (+ ( x y) (* z z)) #s(literal 0 binary64)) #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64))))) (.f64 (-.f64 #s(literal 0 binary64) #s(approx (+ ( x y) (* z z)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)) (.f64 #s(approx (+ ( x y) (* z z)) #s(literal 0 binary64)) #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64))) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)) (-.f64 #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(approx (+ ( x y) (* z z)) #s(literal 0 binary64)) #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(approx (+ ( x y) (* z z)) #s(literal 0 binary64)) #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64))) #s(literal 0 binary64))) (neg.f64 (-.f64 #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)) (-.f64 #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)) (.f64 #s(approx (+ ( x y) (* z z)) #s(literal 0 binary64)) #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (.f64 #s(approx (+ ( x y) (* z z)) #s(literal 0 binary64)) #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64))))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(approx (+ ( x y) (* z z)) #s(literal 0 binary64)) (.f64 #s(approx (+ ( x y) (* z z)) #s(literal 0 binary64)) #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)) (-.f64 #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)) #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)))))
#s(literal 0 binary64)
#s(approx (+ (* x y) (* z z)) #s(literal 0 binary64))

eval75.0ms (0.7%)

Memory: 18.6MiB live, 137.2MiB allocated
Compiler: Compiled 7 156 to 493 computations (93.1% saved)

prune94.0ms (0.9%)

Memory

11.6MiB live, 88.6MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	551	1	552
Fresh	1	0	1
Picked	0	5	5
Done	0	5	5
Total	552	11	563

Accuracy

100.0%

Counts

563 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.3%	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
✓	38.1%	(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)))
✓	99.9%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
	93.0%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 y z) (/.f64 z (.f64 y #s(literal 1/3 binary64))) (*.f64 y x)))
✓	57.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	57.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	94.4%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x)))
✓	51.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
✓	33.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64)))))
✓	37.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))
✓	6.4%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(literal 0 binary64))

Compiler

Compiled 334 to 121 computations (63.8% saved)

regimes43.0ms (0.4%)

Memory

-9.4MiB live, 81.6MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64)))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (+.f64 z z)))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)))
#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 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y (fma.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) y) x)))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 y z) (/.f64 z (.f64 y #s(literal 1/3 binary64))) (*.f64 y x)))
(fma.f64 z (+.f64 (/.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64))) z) (.f64 x y))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))) (.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z))) #s(approx (+ (* x y) (+ (* z z) 0)) (*.f64 z z))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))) (.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z))) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))))
(fma.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (+.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (.f64 z z) #s(literal 0 binary64))) (fma.f64 x y (.f64 z z)))

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

Calls

6 calls:

10.0ms	z
8.0ms	(*.f64 z z)
6.0ms	x
6.0ms	y
6.0ms	(*.f64 x y)

Results

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

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes26.0ms (0.3%)

Memory

-5.6MiB live, 73.1MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64)))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (+.f64 z z)))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)))
#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 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.9%	1	`(*.f64 x y)`
99.9%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes25.0ms (0.2%)

Memory

-4.9MiB live, 74.5MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64)))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (+.f64 z z)))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)))
#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 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) (*.f64 z z)))

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

Calls

6 calls:

6.0ms	y
5.0ms	(*.f64 x y)
4.0ms	x
3.0ms	z
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

Accuracy	Segments	Branch
73.7%	3	`x`
74.9%	3	`y`
86.6%	2	`z`
79.0%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
76.5%	3	`(*.f64 x y)`
86.6%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes8.0ms (0.1%)

Memory

-17.4MiB live, 21.8MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64)))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (+.f64 z z)))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)))
#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 x y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
86.6%	2	`z`
86.6%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64)))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (+.f64 z z)))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))

Outputs
#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 z #s(literal 3 binary64)) z))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
86.6%	2	`z`
86.6%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Memory

-14.1MiB live, 25.3MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64)))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (+.f64 z z)))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)))

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
(fma.f64 (+.f64 z z) z #s(approx (+ (* x y) (* z z)) #s(literal 0 binary64)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
70.3%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
76.7%	2	`z`
76.7%	2	`(*.f64 z z)`

Compiler

Compiled 28 to 15 computations (46.4% saved)

regimes5.0ms (0%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64)))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (+.f64 z z)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
76.5%	2	`z`
76.5%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(literal 0 binary64))

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
76.5%	2	`z`
76.5%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes13.0ms (0.1%)

Memory

-1.6MiB live, 34.7MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
37.5%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
37.5%	1	`x`
37.5%	1	`y`
37.5%	1	`(*.f64 x y)`
37.5%	1	`z`
37.5%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes11.0ms (0.1%)

Memory

-7.4MiB live, 34.7MiB 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)) #s(literal 0 binary64))

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(literal 0 binary64))

Calls

6 calls:

4.0ms	z
1.0ms	y
1.0ms	x
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
1.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
6.4%	1	`y`
6.4%	1	`(*.f64 x y)`
6.4%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
6.4%	1	`x`
6.4%	1	`z`
6.4%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6615410722236236e+42	1.168662487949603e+60

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6615410722236236e+42	1.168662487949603e+60

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6615410722236236e+42	1.168662487949603e+60

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.176290771917525e+189	5.08417998365748e+189

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.176290771917525e+189	5.08417998365748e+189

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch6.0ms (0.1%)

Memory

-19.7MiB live, 19.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	4.176290771917525e+189	5.08417998365748e+189

Samples

2.0ms	42×	0	valid
0.0ms	3×	2	valid
0.0ms	2×	3	valid
0.0ms	1×	1	valid

Compiler

Compiled 62 to 41 computations (33.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-add: 1.0ms (70.6% of total)

adjust: 0.0ms (0% of total)

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

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

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

simplify8.0ms (0.1%)

Memory

28.5MiB live, 28.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	341
1	55	341

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000089771425356151833571098624 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) (fma.f64 (+.f64 z z) z #s(approx (+ ( x y) (* z z)) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000089771425356151833571098624 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 z z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000089771425356151833571098624 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 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) (fma.f64 (+.f64 z z) z #s(approx (+ ( x y) (* z z)) #s(literal 0 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64))))))
(if (<=.f64 (.f64 z z) #s(literal 4499999999999999732923308652483620879430490482361861686740516949879029982462975460550090426107977669523919142607596099488189216484902421753894582264814790884384908788670108544505191791067136 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(literal 0 binary64))

Outputs
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000089771425356151833571098624 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) (fma.f64 (+.f64 z z) z #s(approx (+ ( x y) (* z z)) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000089771425356151833571098624 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 z z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000089771425356151833571098624 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 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000089771425356151833571098624 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 z (.f64 z #s(literal 3 binary64)))))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) (fma.f64 (+.f64 z z) z #s(approx (+ ( x y) (* z z)) #s(literal 0 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z (+.f64 z #s(literal 2 binary64))))))
(if (<=.f64 (.f64 z z) #s(literal 4499999999999999732923308652483620879430490482361861686740516949879029982462975460550090426107977669523919142607596099488189216484902421753894582264814790884384908788670108544505191791067136 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z z) (+ z z)) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(literal 0 binary64))

soundness2.6s (25.4%)

Memory

3.3MiB live, 870.4MiB allocated

Rules

14 860×	`lower-fma.f64`
14 860×	`lower-fma.f32`
10 458×	`lower-fma.f64`
10 458×	`lower-fma.f32`
8 428×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	97
0	34	101
1	145	78
0	1419	78
0	70	952
1	244	844
2	752	844
3	2138	844
4	5699	844
0	8153	763
0	88	1906
1	317	1906
2	981	1906
3	2528	1906
4	6216	1906
0	8252	1744
0	344	4273
1	1127	4113
2	3446	4077
0	8472	3829
0	32	216
0	53	119
1	247	65
2	3367	65
0	8139	65
0	8	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23

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

Compiler

Compiled 438 to 189 computations (56.8% saved)

preprocess97.0ms (0.9%)

Memory

-11.7MiB live, 202.9MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 430 to 150 computations (65.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample967.0ms (9.4%)

preprocess88.0ms (0.9%)

explain416.0ms (4.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize24.0ms (0.2%)

series6.0ms (0.1%)

simplify329.0ms (3.2%)

rewrite430.0ms (4.2%)

eval257.0ms (2.5%)

prune52.0ms (0.5%)

simplify10.0ms (0.1%)

localize61.0ms (0.6%)

series7.0ms (0.1%)

simplify394.0ms (3.8%)

rewrite105.0ms (1%)

eval122.0ms (1.2%)

prune111.0ms (1.1%)

simplify459.0ms (4.5%)

localize117.0ms (1.1%)

series16.0ms (0.2%)

simplify541.0ms (5.3%)

rewrite528.0ms (5.1%)

eval354.0ms (3.4%)

prune490.0ms (4.8%)

simplify509.0ms (5%)

localize61.0ms (0.6%)

series16.0ms (0.2%)

simplify343.0ms (3.3%)

rewrite410.0ms (4%)

eval75.0ms (0.7%)

prune94.0ms (0.9%)

regimes43.0ms (0.4%)

regimes26.0ms (0.3%)

regimes25.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch6.0ms (0.1%)

simplify8.0ms (0.1%)

soundness2.6s (25.4%)

preprocess97.0ms (0.9%)

end0.0ms (0%)

Profiling