Metrics for Graphics.Rasterific.Shading:$sradialGradientWithFocusShader from Rasterific-0.6.1, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample1.0s (11.4%)

Memory

-5.2MiB live, 1 421.4MiB allocated

Samples

720.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 324.0ms

ival-mult: 234.0ms (72.3% of total)

ival-sub: 74.0ms (22.9% of total)

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

exact: 5.0ms (1.5% of total)

ival-assert: 4.0ms (1.2% of total)

Bogosity

explain227.0ms (2.5%)

Memory

15.5MiB live, 184.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
15	-	-	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
13	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
0	-	-	`t`
0	-	-	`(*.f64 y #s(literal 4 binary64))`
0	-	-	`z`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(*.f64 x x)`
0	-	-	`(*.f64 z z)`
0	-	-	`y`
0	-	-	`(-.f64 (*.f64 z z) t)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`	nan-rescue	15	0
↳	`(*.f64 x x)`	overflow	77
↳	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`	overflow	78
↳	`(*.f64 y #s(literal 4 binary64))`	overflow	1
↳	`(-.f64 (*.f64 z z) t)`	overflow	57
↳	`(*.f64 z z)`	overflow	57
`*.f64`	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`	*no**	13	0

Confusion

	Predicted +	Predicted -
+	27	0
-	1	228

Precision

0.9642857142857143

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	27	0	0
-	1	0	228

Precision?

0.9642857142857143

Recall?

1.0

Freqs

test

number	freq
0	228
1	28

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms

512×

valid

Compiler

Compiled 103 to 37 computations (64.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 20.0ms (70.8% of total)

ival-sub: 7.0ms (24.8% of total)

ival-true: 1.0ms (3.5% of total)

exact: 0.0ms (0% of total)

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

preprocess224.0ms (2.5%)

Memory

15.3MiB live, 86.6MiB allocated

Algorithm

1×	egg-herbie

Rules

816×	`lower-fma.f64`
816×	`lower-fma.f32`
786×	`distribute-lft-in`
618×	`unsub-neg`
561×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	190
1	167	186
2	599	182
3	2702	182
4	4916	182
5	6296	182
6	6716	182
7	6825	182
8	6842	182
9	7198	182
10	7372	182
11	7372	182
12	7372	182
13	7372	182
0	11	13
0	17	13
1	28	13
2	79	13
3	287	13
4	677	13
5	1190	13
6	1807	13
7	2114	13
8	2168	13
9	2174	13
10	2174	13
0	2174	12

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))

Outputs
(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
(fma.f64 (.f64 #s(literal -4 binary64) (-.f64 (.f64 z z) t)) y (*.f64 x x))

Symmetry

(abs z)

(abs x)

Compiler

Compiled 17 to 11 computations (35.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune5.0ms (0.1%)

Memory

-47.5MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.7%	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify71.0ms (0.8%)

Memory

11.4MiB live, 84.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y #s(literal 4 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
cost-diff	0	(*.f64 x x)
cost-diff	128	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))

Rules

816×	`lower-fma.f64`
816×	`lower-fma.f32`
392×	`lower-*.f32`
388×	`lower-*.f64`
168×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
0	17	41
1	28	41
2	79	41
3	287	41
4	677	41
5	1190	41
6	1807	41
7	2114	41
8	2168	41
9	2174	41
10	2174	41
0	2174	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t

Outputs
(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
(fma.f64 (.f64 #s(literal -4 binary64) (-.f64 (.f64 z z) t)) y (*.f64 x x))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
(.f64 (fma.f64 (neg.f64 z) z t) (.f64 #s(literal -4 binary64) y))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t

localize35.0ms (0.4%)

Memory

16.1MiB live, 52.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 4 binary64))
accuracy	0	(*.f64 x x)
accuracy	3.080651099973719	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
accuracy	3.3554543008114406	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))

Samples

26.0ms

256×

valid

Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions

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

ival-mult: 6.0ms (68.9% of total)

ival-sub: 2.0ms (23% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Counts

4 → 108

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t))) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)) (patch (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())

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

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(- (* x x) (* (* y 4) (- (* z z) t)))
1.0ms	y	@	0	(- (* x x) (* (* y 4) (- (* z z) t)))
1.0ms	z	@	0	(- (* x x) (* (* y 4) (- (* z z) t)))
1.0ms	z	@	-inf	(- (* x x) (* (* y 4) (- (* z z) t)))
1.0ms	z	@	inf	(- (* x x) (* (* y 4) (- (* z z) t)))

simplify258.0ms (2.8%)

Memory

-11.6MiB live, 342.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 915×	`lower-fma.f64`
8 915×	`lower-fma.f32`
2 880×	`lower-*.f64`
2 880×	`lower-*.f32`
1 025×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	938
1	206	938
2	660	938
3	2613	938
4	7864	938
0	8350	900

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

rewrite315.0ms (3.5%)

Memory

10.5MiB live, 357.5MiB allocated

Rules

3 045×	`lower-fma.f64`
3 045×	`lower-fma.f32`
2 397×	`lower-*.f32`
2 393×	`lower-*.f64`
989×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
0	17	28
1	56	28
2	422	28
3	5357	28
0	8525	27

Stop Event

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

Counts

4 → 187

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
(*.f64 x x)
(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
(*.f64 y #s(literal 4 binary64))

Outputs
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) (.f64 (fma.f64 z z (neg.f64 t)) y)) (.f64 (fma.f64 z z (neg.f64 t)) y)) #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)) (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (.f64 x x)))))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)) (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) (.f64 (fma.f64 z z (neg.f64 t)) y)) (.f64 (fma.f64 z z (neg.f64 t)) y)) #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 x x) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) (.f64 (fma.f64 z z (neg.f64 t)) y)) (.f64 (fma.f64 z z (neg.f64 t)) y)) #s(literal 64 binary64)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (.f64 x x))) (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (.f64 x x)))))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64))) (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64))) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) x)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))) (.f64 (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x)))) (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (*.f64 x x)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) (.f64 (fma.f64 z z (neg.f64 t)) y)) (.f64 (fma.f64 z z (neg.f64 t)) y)) #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64)) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (.f64 x x))) (.f64 (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))))
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(.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)) y)
(.f64 (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t)))
(.f64 (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z t)) (.f64 #s(literal 4 binary64) y)))
(.f64 (fma.f64 (.f64 (.f64 (.f64 z z) z) (.f64 z z)) z (.f64 (.f64 t t) t)) (/.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 (.f64 (.f64 z z) z) z (*.f64 (fma.f64 z z t) t))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 z z) z) (.f64 z z)) z (.f64 (.f64 t t) t)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 z z t) t))) (.f64 #s(literal 4 binary64) y)))
(.f64 (fma.f64 z z (neg.f64 t)) (.f64 #s(literal 4 binary64) y))
(.f64 (.f64 #s(literal 4 binary64) y) (fma.f64 z z (neg.f64 t)))
(.f64 #s(literal 4 binary64) (.f64 (fma.f64 z z (neg.f64 t)) y))
(.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)))
(pow.f64 (/.f64 (fma.f64 z z t) (.f64 (fma.f64 z z t) (.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 z z t) t)) (.f64 (fma.f64 (.f64 (.f64 (.f64 z z) z) (.f64 z z)) z (.f64 (.f64 t t) t)) (*.f64 #s(literal 4 binary64) y))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (neg.f64 t))))
(/.f64 (.f64 (.f64 (neg.f64 (fma.f64 z z t)) (fma.f64 z z (neg.f64 t))) (*.f64 #s(literal 4 binary64) y)) (neg.f64 (fma.f64 z z t)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 z z) z) (.f64 z z)) z (.f64 (.f64 t t) t))) (.f64 #s(literal 4 binary64) y)) (neg.f64 (fma.f64 (.f64 (.f64 z z) z) z (*.f64 (fma.f64 z z t) t))))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (neg.f64 t))))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) y) (*.f64 (neg.f64 (fma.f64 z z t)) (fma.f64 z z (neg.f64 t)))) (neg.f64 (fma.f64 z z t)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) y) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 z z) z) (.f64 z z)) z (.f64 (.f64 t t) t)))) (neg.f64 (fma.f64 (.f64 (.f64 z z) z) z (*.f64 (fma.f64 z z t) t))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y) (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y)) (.f64 (.f64 (.f64 #s(literal -4 binary64) t) y) (.f64 (.f64 #s(literal -4 binary64) t) y))) (-.f64 (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y) (.f64 (*.f64 #s(literal -4 binary64) t) y)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y) (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y)) (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y) (.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) t) y) (.f64 (.f64 #s(literal -4 binary64) t) y)) (.f64 (.f64 #s(literal -4 binary64) t) y))) (fma.f64 (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y) (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y) (-.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) t) y) (.f64 (.f64 #s(literal -4 binary64) t) y)) (.f64 (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y) (.f64 (*.f64 #s(literal -4 binary64) t) y)))))
(/.f64 (.f64 (fma.f64 z z t) (.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64))) (fma.f64 z z t))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 z z) z) (.f64 z z)) z (.f64 (.f64 t t) t)) (.f64 #s(literal 4 binary64) y)) (fma.f64 (.f64 (.f64 z z) z) z (*.f64 (fma.f64 z z t) t)))
(/.f64 (.f64 (.f64 #s(literal -4 binary64) y) (*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t)))) (neg.f64 (fma.f64 z z t)))
(/.f64 (.f64 #s(literal -4 binary64) (.f64 y (fma.f64 (.f64 (.f64 (.f64 z z) z) (.f64 z z)) z (.f64 (.f64 t t) t)))) (neg.f64 (fma.f64 (.f64 (.f64 z z) z) z (*.f64 (fma.f64 z z t) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z t) (.f64 (fma.f64 z z t) (.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 z z t) t)) (.f64 (fma.f64 (.f64 (.f64 (.f64 z z) z) (.f64 z z)) z (.f64 (.f64 t t) t)) (*.f64 #s(literal 4 binary64) y))))
(/.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 z z (neg.f64 t))))
(fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) z) z (.f64 (.f64 #s(literal -4 binary64) t) y))
(fma.f64 (.f64 (neg.f64 t) y) #s(literal 4 binary64) (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 (.f64 (.f64 z z) y) #s(literal 4 binary64) (.f64 (.f64 #s(literal -4 binary64) t) y))
(fma.f64 (.f64 #s(literal -4 binary64) t) y (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y (.f64 (.f64 #s(literal -4 binary64) t) y))
(fma.f64 #s(literal -1 binary64) (.f64 t (.f64 #s(literal 4 binary64) y)) (.f64 (.f64 (*.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 (.f64 #s(literal -4 binary64) y) t (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 (neg.f64 t) (.f64 #s(literal 4 binary64) y) (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 (.f64 z z) (.f64 #s(literal 4 binary64) y) (.f64 (.f64 #s(literal -4 binary64) t) y))
(fma.f64 z (.f64 z (.f64 #s(literal 4 binary64) y)) (.f64 (.f64 #s(literal -4 binary64) t) y))
(fma.f64 (.f64 #s(literal 4 binary64) y) (neg.f64 t) (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 (.f64 #s(literal 4 binary64) y) (.f64 z z) (.f64 (.f64 #s(literal -4 binary64) t) y))
(fma.f64 #s(literal 4 binary64) (.f64 y (neg.f64 t)) (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 #s(literal 4 binary64) (.f64 y (.f64 z z)) (.f64 (.f64 #s(literal -4 binary64) t) y))
(fma.f64 y (.f64 #s(literal -4 binary64) t) (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 y (.f64 (.f64 z z) #s(literal 4 binary64)) (.f64 (.f64 #s(literal -4 binary64) t) y))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 #s(literal -4 binary64) t) y) (.f64 (.f64 (*.f64 z z) #s(literal 4 binary64)) y))
(+.f64 (.f64 (.f64 (.f64 z z) #s(literal 4 binary64)) y) (.f64 (*.f64 #s(literal -4 binary64) t) y))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))

eval33.0ms (0.4%)

Memory: 22.7MiB live, 98.7MiB allocated
Compiler: Compiled 10 110 to 547 computations (94.6% saved)

prune46.0ms (0.5%)

Memory

-13.5MiB live, 106.1MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	285	10	295
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	286	10	296

Accuracy

100.0%

Counts

296 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.9%	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y (.f64 x x)))
▶	92.8%	(fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
	89.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))))
	89.6%	(-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 z z (neg.f64 t)))))
	65.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) y (*.f64 x x)))
	69.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x)))
▶	60.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
▶	33.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) #s(literal -4 binary64)) y))
	29.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y))
▶	43.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

Compiler

Compiled 294 to 188 computations (36.1% saved)

simplify61.0ms (0.7%)

Memory

11.0MiB live, 49.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 z z (neg.f64 t))
cost-diff	0	(*.f64 (fma.f64 z z (neg.f64 t)) y)
cost-diff	0	(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
cost-diff	0	(fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
cost-diff	0	(fma.f64 z z (neg.f64 t))
cost-diff	0	(*.f64 (fma.f64 z z (neg.f64 t)) y)
cost-diff	0	(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) #s(literal -4 binary64))
cost-diff	0	(.f64 (.f64 (*.f64 z z) #s(literal -4 binary64)) y)
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) #s(literal -4 binary64)) y))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
cost-diff	0	(*.f64 #s(literal -4 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal -4 binary64) y) z)
cost-diff	128	(*.f64 (neg.f64 t) #s(literal -4 binary64))
cost-diff	512	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y (.f64 x x)))

Rules

816×	`lower-fma.f32`
812×	`lower-fma.f64`
392×	`lower-*.f32`
383×	`lower-*.f64`
153×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	197
0	45	201
1	86	188
2	192	188
3	497	188
4	972	188
5	1448	188
6	1674	188
7	1846	188
8	1878	188
9	1880	188
10	1880	188
0	1880	188

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y (.f64 x x)))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
(fma.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y (.f64 x x))
(*.f64 (neg.f64 t) #s(literal -4 binary64))
(neg.f64 t)
t
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) #s(literal -4 binary64)) y))
(.f64 (.f64 (*.f64 z z) #s(literal -4 binary64)) y)
(.f64 (.f64 z z) #s(literal -4 binary64))
(*.f64 z z)
z
#s(literal -4 binary64)
y
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
(*.f64 (fma.f64 z z (neg.f64 t)) y)
(fma.f64 z z (neg.f64 t))
z
(neg.f64 t)
t
y
#s(literal -4 binary64)
(fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
x
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
(*.f64 (fma.f64 z z (neg.f64 t)) y)
(fma.f64 z z (neg.f64 t))
z
(neg.f64 t)
t
y
#s(literal -4 binary64)

Outputs
(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y (.f64 x x)))
(fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 (.f64 z #s(literal -4 binary64)) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 y #s(literal -4 binary64))
#s(literal -4 binary64)
y
z
(fma.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y (.f64 x x))
(fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))
(*.f64 (neg.f64 t) #s(literal -4 binary64))
(*.f64 #s(literal 4 binary64) t)
(neg.f64 t)
t
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) #s(literal -4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(.f64 (.f64 (*.f64 z z) #s(literal -4 binary64)) y)
(.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64))
(.f64 (.f64 z z) #s(literal -4 binary64))
(.f64 (.f64 z #s(literal -4 binary64)) z)
(*.f64 z z)
z
#s(literal -4 binary64)
y
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (neg.f64 z) z t) (.f64 #s(literal 4 binary64) y)))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
(.f64 (fma.f64 (neg.f64 z) z t) (.f64 #s(literal 4 binary64) y))
(*.f64 (fma.f64 z z (neg.f64 t)) y)
(fma.f64 z z (neg.f64 t))
z
(neg.f64 t)
t
y
#s(literal -4 binary64)
(fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
(fma.f64 (.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (.f64 x x))
x
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
(.f64 (fma.f64 (neg.f64 z) z t) (.f64 #s(literal 4 binary64) y))
(*.f64 (fma.f64 z z (neg.f64 t)) y)
(fma.f64 z z (neg.f64 t))
z
(neg.f64 t)
t
y
#s(literal -4 binary64)

localize156.0ms (1.7%)

Memory

-39.1MiB live, 167.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 t)
accuracy	0.00390625	(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
accuracy	2.007790480844482	(fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
accuracy	2.843640069144935	(*.f64 (fma.f64 z z (neg.f64 t)) y)
accuracy	0	(neg.f64 t)
accuracy	0.00390625	(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
accuracy	2.843640069144935	(*.f64 (fma.f64 z z (neg.f64 t)) y)
accuracy	24.194989062500213	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
accuracy	0	(*.f64 z z)
accuracy	0.0078125	(.f64 (.f64 z z) #s(literal -4 binary64))
accuracy	6.830730699373973	(.f64 (.f64 (*.f64 z z) #s(literal -4 binary64)) y)
accuracy	41.328308411423166	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) #s(literal -4 binary64)) y))
accuracy	0	(*.f64 x x)
accuracy	36.097529408817074	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
accuracy	0	(neg.f64 t)
accuracy	0.2417974104376211	(.f64 (.f64 #s(literal -4 binary64) y) z)
accuracy	0.49771341048929585	(fma.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y (.f64 x x))
accuracy	2.8710731077979155	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y (.f64 x x)))

Samples

87.0ms

256×

valid

Compiler

Compiled 188 to 28 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 37.0ms (81.6% of total)

ival-add: 4.0ms (8.8% of total)

ival-sub: 2.0ms (4.4% of total)

ival-neg: 1.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series69.0ms (0.8%)

Memory

-11.2MiB live, 31.5MiB allocated

Counts

17 → 492

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y (.f64 x x))) (patch (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 t) #s(literal -4 binary64)) (patch (.f64 (neg.f64 t) #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -4 binary64) y) z) (patch (.f64 (.f64 #s(literal -4 binary64) y) z) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -4 binary64) y) (patch (.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) y)) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) #s(literal -4 binary64)) y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) y) (patch (.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z z) #s(literal -4 binary64)) (patch (.f64 (.f64 z z) #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))) (patch #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)) (patch (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 z z (neg.f64 t)) y) (patch (.f64 (fma.f64 z z (neg.f64 t)) y) #<representation binary64>) () ())
#s(alt (fma.f64 z z (neg.f64 t)) (patch (fma.f64 z z (neg.f64 t)) #<representation binary64>) () ())
#s(alt (fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))) (patch (fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y (.f64 x x)) (patch (fma.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y (.f64 x x)) #<representation binary64>) () ())
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())

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

Calls

123 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(+ (* (* (neg t) -4) y) (* x x))
2.0ms	y	@	0	(+ (* (* (* -4 y) z) z) (+ (* (* (neg t) -4) y) (* x x)))
1.0ms	y	@	inf	(+ (* (* (* -4 y) z) z) (+ (* (* (neg t) -4) y) (* x x)))
1.0ms	t	@	0	(+ (* (* (* -4 y) z) z) (+ (* (* (neg t) -4) y) (* x x)))
1.0ms	y	@	0	(* (* -4 y) z)

simplify301.0ms (3.3%)

Memory

-18.2MiB live, 215.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 107×	`lower-fma.f64`
7 107×	`lower-fma.f32`
2 519×	`lower-*.f64`
2 519×	`lower-*.f32`
827×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	5024
1	495	4934
2	1569	4514
3	5019	4424
0	8382	4177

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

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

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

rewrite650.0ms (7.1%)

Memory

18.0MiB live, 256.4MiB allocated

Rules

4 811×	`lower-fma.f32`
4 807×	`lower-fma.f64`
2 058×	`lower-*.f32`
2 049×	`lower-*.f64`
1 167×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	151
0	45	155
1	156	142
2	1219	132
0	9639	132

Stop Event

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

Counts

17 → 736

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y (.f64 x x)))
(*.f64 (neg.f64 t) #s(literal -4 binary64))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
(*.f64 x x)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) #s(literal -4 binary64)) y))
(.f64 (.f64 (*.f64 z z) #s(literal -4 binary64)) y)
(.f64 (.f64 z z) #s(literal -4 binary64))
(*.f64 z z)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
(*.f64 (fma.f64 z z (neg.f64 t)) y)
(fma.f64 z z (neg.f64 t))
(fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
(fma.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y (.f64 x x))
(neg.f64 t)

Outputs
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x)) (-.f64 (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x)) (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x)) (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64)))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (*.f64 x x)))
(.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 t t))) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x)) (.f64 (.f64 (.f64 #s(literal -64 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 z z) z)) (.f64 (.f64 z z) z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 z z) y) (.f64 (.f64 z z) y)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x)) (-.f64 (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x)) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64))))))))
(.f64 (fma.f64 (neg.f64 (.f64 (.f64 x x) x)) x (.f64 (.f64 #s(literal 16 binary64) (.f64 (fma.f64 z z t) (fma.f64 z z t))) (.f64 y y))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y (*.f64 x x))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z t)) (fma.f64 z z t)) (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y) (fma.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y (.f64 x x)))))))
(.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 #s(literal -16 binary64) (.f64 (.f64 y y) (.f64 (fma.f64 z z t) (fma.f64 z z t))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y (*.f64 x x))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 t t))) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x)) (.f64 (.f64 (.f64 #s(literal -64 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 z z) z)) (.f64 (.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x)) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x)) (fma.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 (.f64 (.f64 z z) z) z) (.f64 (.f64 (.f64 (.f64 z z) y) #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) t) y (*.f64 x x)))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 t t))) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x)) (.f64 (.f64 (.f64 #s(literal -64 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 z z) z)) (.f64 (.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 z z) y) (.f64 (.f64 z z) y)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x)) (-.f64 (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x)) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))))))
(.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z t)) (fma.f64 z z t)) (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 16 binary64) (.f64 (fma.f64 z z t) (fma.f64 z z t))) (.f64 y y) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 x x) y) (.f64 (fma.f64 z z t) #s(literal 4 binary64)))))))
(.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z t)) (fma.f64 z z t)) (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y) (fma.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y (.f64 x x))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 z z) y) (.f64 (.f64 z z) y)) #s(literal 16 binary64))) (fma.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y (.f64 x x))) (/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 z z) y) (.f64 (.f64 z z) y)) #s(literal 16 binary64))) (fma.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y (.f64 x x)))) (.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 t t)))) (fma.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y (.f64 x x))) (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 t t)))) (fma.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y (.f64 x x))))) (+.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 z z) y) (.f64 (.f64 z z) y)) #s(literal 16 binary64))) (fma.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y (.f64 x x))) (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 t t)))) (fma.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y (.f64 x x)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y (.f64 x x)))) (.f64 (/.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 (fma.f64 z z t) (fma.f64 z z t))) (.f64 y y)) (fma.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 (fma.f64 z z t) (fma.f64 z z t))) (.f64 y y)) (fma.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y (.f64 x x))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 (fma.f64 z z t) (fma.f64 z z t))) (.f64 y y)) (fma.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y) (fma.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y (.f64 x x))))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y) (fma.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y (.f64 x x)))))) (.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z t)) (fma.f64 z z t)) (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y) (fma.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y (.f64 x x))))) (/.f64 (.f64 (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z t)) (fma.f64 z z t)) (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y) (fma.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y (.f64 x x))))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y) (fma.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y (.f64 x x))))) (/.f64 (.f64 (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z t)) (fma.f64 z z t)) (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y) (fma.f64 (.f64 (fma.f64 z z t) #s(literal 4 binary64)) y (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (.f64 x x))) (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 t t))) (fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 t t)) (.f64 (fma.f64 x x (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64))) (fma.f64 x x (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64))))) (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (fma.f64 x x (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64)))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x))) #s(literal -1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x)))))
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(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 t t) t)) (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (fma.f64 (.f64 #s(literal 4 binary64) t) y (*.f64 x x)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 t t) t)) (.f64 (.f64 y y) y))) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x)) (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (*.f64 t t))))
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(fma.f64 (neg.f64 (.f64 y #s(literal -4 binary64))) t (.f64 x x))
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(fma.f64 (.f64 t y) #s(literal 4 binary64) (neg.f64 (.f64 (neg.f64 x) x)))
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(fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) t) (.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 4 binary64) y) t) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 4 binary64) y) t) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 4 binary64) y) t) (neg.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 4 binary64) y) t) (*.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 t t)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x))) (neg.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 4 binary64) t) y (*.f64 x x)))))
(fma.f64 (.f64 #s(literal 4 binary64) y) t (neg.f64 (.f64 (neg.f64 x) x)))
(fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 t y) (neg.f64 (.f64 (neg.f64 x) x)))
(fma.f64 #s(literal 4 binary64) (.f64 t y) (.f64 x x))
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(fma.f64 t (.f64 #s(literal 4 binary64) y) (neg.f64 (.f64 (neg.f64 x) x)))
(fma.f64 t (.f64 #s(literal 4 binary64) y) (.f64 x x))
(fma.f64 t (.f64 y #s(literal -4 binary64)) (neg.f64 (.f64 (neg.f64 x) x)))
(fma.f64 t (.f64 y #s(literal -4 binary64)) (.f64 x x))
(fma.f64 (.f64 y #s(literal -4 binary64)) t (neg.f64 (.f64 (neg.f64 x) x)))
(fma.f64 (.f64 y #s(literal -4 binary64)) t (.f64 x x))
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(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) x (.f64 (.f64 #s(literal 4 binary64) y) t)))
(-.f64 (.f64 x x) (.f64 (*.f64 #s(literal 4 binary64) y) t))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (neg.f64 (*.f64 (neg.f64 x) x)))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (*.f64 x x))
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(+.f64 (.f64 x x) (.f64 (*.f64 #s(literal 4 binary64) y) t))
(*.f64 #s(literal 1 binary64) t)
(*.f64 #s(literal -1 binary64) t)
(.f64 (.f64 (*.f64 t t) t) (/.f64 #s(literal 1 binary64) (fma.f64 t t #s(literal 0 binary64))))
(.f64 (.f64 t t) (/.f64 #s(literal 1 binary64) t))
(*.f64 t #s(literal 1 binary64))
(*.f64 t #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (.f64 (.f64 t t) t)))
(/.f64 (.f64 (.f64 t t) t) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 t t) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 t t) t) (neg.f64 (fma.f64 t t #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 t t) t) (fma.f64 t t #s(literal 0 binary64)))
(/.f64 (*.f64 t t) t)
(neg.f64 t)
(-.f64 (/.f64 #s(literal 0 binary64) t) t)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) t)
(-.f64 #s(literal 0 binary64) t)
(+.f64 #s(literal 0 binary64) t)
t

eval479.0ms (5.3%)

Memory: 15.1MiB live, 430.0MiB allocated
Compiler: Compiled 37 840 to 1 770 computations (95.3% saved)

prune306.0ms (3.4%)

Memory

-3.2MiB live, 416.6MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	1 716	7	1 723
Fresh	4	1	5
Picked	2	3	5
Done	0	0	0
Total	1 722	11	1 733

Accuracy

100.0%

Counts

1 733 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.9%	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) -4) y) (* x x)) (*.f64 x x)))
▶	68.0%	(fma.f64 x x #s(approx (* (* (+ (* z z) (neg t)) y) -4) (.f64 (.f64 #s(literal 4 binary64) y) t)))
▶	64.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))))
	69.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x)))
	33.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t))))
✓	60.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
✓	33.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) #s(literal -4 binary64)) y))
▶	35.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z))
	29.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t))
▶	29.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y))
✓	43.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

Compiler

Compiled 248 to 160 computations (35.5% saved)

simplify120.0ms (1.3%)

Memory

-18.9MiB live, 58.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (fma.f64 z z t) #s(literal -4 binary64))
cost-diff	0	(fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))))
cost-diff	0	(*.f64 #s(literal 4 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal 4 binary64) y) t)
cost-diff	0	#s(approx (* (* (+ (* z z) (neg t)) y) -4) (.f64 (.f64 #s(literal 4 binary64) y) t))
cost-diff	0	(fma.f64 x x #s(approx (* (* (+ (* z z) (neg t)) y) -4) (.f64 (.f64 #s(literal 4 binary64) y) t)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) #s(literal -4 binary64))
cost-diff	0	(.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z)
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z))
cost-diff	0	(*.f64 #s(literal 4 binary64) t)
cost-diff	0	(.f64 (.f64 #s(literal 4 binary64) t) y)
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y))
cost-diff	0	#s(approx (+ (* (* (neg t) -4) y) (* x x)) (*.f64 x x))
cost-diff	0	(*.f64 #s(literal -4 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal -4 binary64) y) z)
cost-diff	0	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) -4) y) (* x x)) (*.f64 x x)))

Rules

1 384×	`lower-fma.f32`
1 380×	`lower-fma.f64`
520×	`lower-*.f32`
509×	`lower-*.f64`
251×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	224
0	61	218
1	118	216
2	245	216
3	620	216
4	1190	216
5	1769	216
6	2308	216
7	2648	216
8	2840	216
9	2926	216
10	2958	216
11	2965	216
12	2966	216
13	2966	216
0	2966	212

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) -4) y) (* x x)) (*.f64 x x)))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
#s(approx (+ (* (* (neg t) -4) y) (* x x)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y))
(.f64 (.f64 #s(literal 4 binary64) t) y)
(*.f64 #s(literal 4 binary64) t)
#s(literal 4 binary64)
t
y
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z))
(.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z)
(.f64 (.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
z
y
#s(literal -4 binary64)
(fma.f64 x x #s(approx (* (* (+ (* z z) (neg t)) y) -4) (.f64 (.f64 #s(literal 4 binary64) y) t)))
x
#s(approx (* (* (+ (* z z) (neg t)) y) -4) (.f64 (.f64 #s(literal 4 binary64) y) t))
(.f64 (.f64 #s(literal 4 binary64) y) t)
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
t
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x)))
(fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))
(*.f64 (fma.f64 z z t) #s(literal -4 binary64))
(fma.f64 z z t)
z
t
#s(literal -4 binary64)
y
(*.f64 x x)
x

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

localize107.0ms (1.2%)

Memory

12.3MiB live, 210.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.12890625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))))
accuracy	0.6317905982819059	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x)))
accuracy	6.001445418261783	(fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))
accuracy	0	(*.f64 #s(literal 4 binary64) y)
accuracy	0.2383646751263458	(.f64 (.f64 #s(literal 4 binary64) y) t)
accuracy	2.007790480844482	(fma.f64 x x #s(approx (* (* (+ (* z z) (neg t)) y) -4) (.f64 (.f64 #s(literal 4 binary64) y) t)))
accuracy	29.037055985631394	#s(approx (* (* (+ (* z z) (neg t)) y) -4) (.f64 (.f64 #s(literal 4 binary64) y) t))
accuracy	0	(*.f64 z y)
accuracy	0.026386279305326048	(.f64 (.f64 z y) #s(literal -4 binary64))
accuracy	0.125	(.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z)
accuracy	41.328308411423166	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z))
accuracy	0	(*.f64 #s(literal 4 binary64) t)
accuracy	0.23990366288373566	(.f64 (.f64 #s(literal 4 binary64) t) y)
accuracy	44.81680562947353	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y))
accuracy	0	(*.f64 #s(literal -4 binary64) y)
accuracy	0.2417974104376211	(.f64 (.f64 #s(literal -4 binary64) y) z)
accuracy	2.8710731077979155	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) -4) y) (* x x)) (*.f64 x x)))
accuracy	27.511588948092992	#s(approx (+ (* (* (neg t) -4) y) (* x x)) (*.f64 x x))

Samples

70.0ms

256×

valid

Compiler

Compiled 202 to 40 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 30.0ms (68.3% of total)

ival-add: 6.0ms (13.7% of total)

ival-div: 3.0ms (6.8% of total)

ival-sub: 2.0ms (4.6% of total)

ival-neg: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.4%)

Memory

8.2MiB live, 85.5MiB allocated

Counts

20 → 624

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) -4) y) (* x x)) (.f64 x x))) (patch (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ ( (* (neg t) -4) y) (* x x)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -4 binary64) y) z) (patch (.f64 (.f64 #s(literal -4 binary64) y) z) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -4 binary64) y) (patch (.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (neg t) -4) y) (* x x)) (.f64 x x)) (patch #s(approx (+ ( (* (neg t) -4) y) (* x x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y)) (patch #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 4 binary64) t) y) (patch (.f64 (.f64 #s(literal 4 binary64) t) y) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 4 binary64) t) (patch (.f64 #s(literal 4 binary64) t) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) z)) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) z) (patch (.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) z) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z y) #s(literal -4 binary64)) (patch (.f64 (.f64 z y) #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(approx (* (* (+ (* z z) (neg t)) y) -4) (.f64 (.f64 #s(literal 4 binary64) y) t))) (patch (fma.f64 x x #s(approx (* (* (+ (* z z) (neg t)) y) -4) (.f64 (.f64 #s(literal 4 binary64) y) t))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (+ (* z z) (neg t)) y) -4) (.f64 (.f64 #s(literal 4 binary64) y) t)) (patch #s(approx (* (* (+ (* z z) (neg t)) y) -4) (.f64 (.f64 #s(literal 4 binary64) y) t)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 4 binary64) y) t) (patch (.f64 (.f64 #s(literal 4 binary64) y) t) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 4 binary64) y) (patch (.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x)) (patch (fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 z z t) #s(literal -4 binary64)) (patch (.f64 (fma.f64 z z t) #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())

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

Calls

156 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))
1.0ms	z	@	0	(/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))
1.0ms	x	@	0	(/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))
1.0ms	t	@	0	(/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))
0.0ms	t	@	inf	(/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))

simplify207.0ms (2.3%)

Memory

-2.0MiB live, 310.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4 749×	`lower-fma.f64`
4 749×	`lower-fma.f32`
2 826×	`lower-*.f64`
2 826×	`lower-*.f32`
1 668×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	414	8166
1	1260	7966
2	4230	7710
0	8093	7139

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 624

Calls

Call 1

Inputs
(pow x 2)
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(* y (+ (* -4 (pow z 2)) (* 4 t)))
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y))))
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y))))
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y))))
(* -1 (* y (+ (* -4 t) (* 4 (pow z 2)))))
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))))
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))))
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))))
(+ (* 4 (* t y)) (pow x 2))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(* -4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* -4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(* 4 (* t y))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* 4 (* t y))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(pow x 2)
(+ (* 4 (* t y)) (pow x 2))
(+ (* 4 (* t y)) (pow x 2))
(+ (* 4 (* t y)) (pow x 2))
(* 4 (* t y))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* 4 (* t y))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(pow x 2)
(+ (* 4 (* t y)) (pow x 2))
(+ (* 4 (* t y)) (pow x 2))
(+ (* 4 (* t y)) (pow x 2))
(* 4 (* t y))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* 4 (* t y))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(+ (* 4 (* t y)) (pow x 2))
(+ (* 4 (* t y)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(pow x 2)
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* -4 (* y (- (pow z 2) t)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* -4 (* y (- (pow z 2) t)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* -4 (* y (pow z 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* -4 (* y (pow z 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 (* t y))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* 4 (* t y))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 t)
(* 4 t)
(* 4 t)
(* 4 t)
(* 4 t)
(* 4 t)
(* 4 t)
(* 4 t)
(* 4 t)
(* 4 t)
(* 4 t)
(* 4 t)
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(pow x 2)
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* -4 (* y (- (pow z 2) t)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* -4 (* y (- (pow z 2) t)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* -4 (* y (pow z 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* -4 (* y (pow z 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 (* t y))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* 4 (* t y))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y (pow z 2)))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* -4 (* y (- (pow z 2) t)))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(+ (* 4 (* t y)) (pow x 2))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(* -4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* -4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(* 4 (* t y))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* 4 (* t y))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(pow x 2)
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* -4 (* y (- (pow z 2) t)))
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* -4 (* y (- (pow z 2) t)))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(* 4 (* t y))
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(* -4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(* -4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(* -4 (* y (pow z 2)))
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(* 4 (* t y))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(* 4 (* t y))
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* -4 (* y (- (pow z 2) t)))
(* -4 (* y (- (pow z 2) t)))
(* -4 (* y (- (pow z 2) t)))
(* -4 (* y (- (pow z 2) t)))
(* -4 (* y (- (pow z 2) t)))
(* -4 (* y (- (pow z 2) t)))
(* -4 (* y (- (pow z 2) t)))
(* -4 (* y (- (pow z 2) t)))
(* -4 (* y (- (pow z 2) t)))
(* -4 (* y (- (pow z 2) t)))
(* -4 (* y (- (pow z 2) t)))
(* -4 (* y (- (pow z 2) t)))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 (* t y))
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(+ (* -4 (* t y)) (pow x 2))
(+ (* -4 (* t y)) (+ (* -4 (* y (pow z 2))) (pow x 2)))
(+ (* -4 (* t y)) (+ (* -4 (* y (pow z 2))) (pow x 2)))
(+ (* -4 (* t y)) (+ (* -4 (* y (pow z 2))) (pow x 2)))
(* -4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 y) (+ (* -4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (+ (* -4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (+ (* -4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* -4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 y) (+ (* -4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (+ (* -4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (+ (* -4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(+ (* -4 (* t y)) (+ (* -4 (* y (pow z 2))) (pow x 2)))
(+ (* -4 (* t y)) (+ (* -4 (* y (pow z 2))) (pow x 2)))
(+ (* -4 (* t y)) (+ (* -4 (* y (pow z 2))) (pow x 2)))
(* -4 (* t y))
(* t (+ (* -4 y) (+ (* -4 (/ (* y (pow z 2)) t)) (/ (pow x 2) t))))
(* t (+ (* -4 y) (+ (* -4 (/ (* y (pow z 2)) t)) (/ (pow x 2) t))))
(* t (+ (* -4 y) (+ (* -4 (/ (* y (pow z 2)) t)) (/ (pow x 2) t))))
(* -4 (* t y))
(* -1 (* t (+ (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)) (* 4 y))))
(* -1 (* t (+ (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)) (* 4 y))))
(* -1 (* t (+ (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)) (* 4 y))))
(pow x 2)
(+ (* -4 (* y (+ t (pow z 2)))) (pow x 2))
(+ (* -4 (* y (+ t (pow z 2)))) (pow x 2))
(+ (* -4 (* y (+ t (pow z 2)))) (pow x 2))
(* -4 (* y (+ t (pow z 2))))
(* y (+ (* -4 (+ t (pow z 2))) (/ (pow x 2) y)))
(* y (+ (* -4 (+ t (pow z 2))) (/ (pow x 2) y)))
(* y (+ (* -4 (+ t (pow z 2))) (/ (pow x 2) y)))
(* -4 (* y (+ t (pow z 2))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (+ t (pow z 2))))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (+ t (pow z 2))))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (+ t (pow z 2))))))
(* -4 (* y (+ t (pow z 2))))
(+ (* -4 (* y (+ t (pow z 2)))) (pow x 2))
(+ (* -4 (* y (+ t (pow z 2)))) (pow x 2))
(+ (* -4 (* y (+ t (pow z 2)))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ t (pow z 2))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ t (pow z 2))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ t (pow z 2))) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ t (pow z 2))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ t (pow z 2))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ t (pow z 2))) (pow x 2)))))
(/ 1 (+ (* -4 (* t y)) (pow x 2)))
(+ (* 4 (/ (* y (pow z 2)) (pow (+ (* -4 (* t y)) (pow x 2)) 2))) (/ 1 (+ (* -4 (* t y)) (pow x 2))))
(+ (* (pow z 2) (- (* 16 (/ (* (pow y 2) (pow z 2)) (pow (+ (* -4 (* t y)) (pow x 2)) 3))) (* -4 (/ y (pow (+ (* -4 (* t y)) (pow x 2)) 2))))) (/ 1 (+ (* -4 (* t y)) (pow x 2))))
(+ (* (pow z 2) (- (* (pow z 2) (- (* 64 (/ (* (pow y 3) (pow z 2)) (pow (+ (* -4 (* t y)) (pow x 2)) 4))) (* -16 (/ (pow y 2) (pow (+ (* -4 (* t y)) (pow x 2)) 3))))) (* -4 (/ y (pow (+ (* -4 (* t y)) (pow x 2)) 2))))) (/ 1 (+ (* -4 (* t y)) (pow x 2))))
(/ -1/4 (* y (pow z 2)))
(/ (- (* -1/16 (/ (+ (* -4 (* t y)) (pow x 2)) (* (pow y 2) (pow z 2)))) (* 1/4 (/ 1 y))) (pow z 2))
(/ (- (* -1/64 (/ (pow (+ (* -4 (* t y)) (pow x 2)) 2) (* (pow y 3) (pow z 4)))) (+ (* 1/16 (/ (+ (* -4 (* t y)) (pow x 2)) (* (pow y 2) (pow z 2)))) (* 1/4 (/ 1 y)))) (pow z 2))
(/ (- (* -1/256 (/ (pow (+ (* -4 (* t y)) (pow x 2)) 3) (* (pow y 4) (pow z 6)))) (+ (* 1/64 (/ (pow (+ (* -4 (* t y)) (pow x 2)) 2) (* (pow y 3) (pow z 4)))) (+ (* 1/16 (/ (+ (* -4 (* t y)) (pow x 2)) (* (pow y 2) (pow z 2)))) (* 1/4 (/ 1 y))))) (pow z 2))
(/ -1/4 (* y (pow z 2)))
(/ (- (* -1/16 (/ (+ (* -4 (* t y)) (pow x 2)) (* (pow y 2) (pow z 2)))) (* 1/4 (/ 1 y))) (pow z 2))
(/ (- (* -1/64 (/ (pow (+ (* -4 (* t y)) (pow x 2)) 2) (* (pow y 3) (pow z 4)))) (+ (* 1/16 (/ (+ (* -4 (* t y)) (pow x 2)) (* (pow y 2) (pow z 2)))) (* 1/4 (/ 1 y)))) (pow z 2))
(/ (- (* -1/256 (/ (pow (+ (* -4 (* t y)) (pow x 2)) 3) (* (pow y 4) (pow z 6)))) (+ (* 1/64 (/ (pow (+ (* -4 (* t y)) (pow x 2)) 2) (* (pow y 3) (pow z 4)))) (+ (* 1/16 (/ (+ (* -4 (* t y)) (pow x 2)) (* (pow y 2) (pow z 2)))) (* 1/4 (/ 1 y))))) (pow z 2))
(/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2)))
(+ (* 4 (/ (* t y) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2))) (/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2))))
(+ (* t (- (* 16 (/ (* t (pow y 2)) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3))) (* -4 (/ y (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2))))) (/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2))))
(+ (* t (- (* t (- (* 64 (/ (* t (pow y 3)) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 4))) (* -16 (/ (pow y 2) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3))))) (* -4 (/ y (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2))))) (/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2))))
(/ -1/4 (* t y))
(/ (- (* -1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2)))) (* 1/4 (/ 1 y))) t)
(/ (- (* -1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (* (pow t 2) (pow y 3)))) (+ (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2)))) (* 1/4 (/ 1 y)))) t)
(/ (- (* -1/256 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3) (* (pow t 3) (pow y 4)))) (+ (* 1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (* (pow t 2) (pow y 3)))) (+ (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2)))) (* 1/4 (/ 1 y))))) t)
(/ -1/4 (* t y))
(* -1 (/ (+ (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2)))) (* 1/4 (/ 1 y))) t))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (* t (pow y 3)))) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (pow y 2)))) t)) (* 1/4 (/ 1 y))) t))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3) (* t (pow y 4)))) (* -1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (pow y 3)))) t)) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (pow y 2)))) t)) (* 1/4 (/ 1 y))) t))
(/ 1 (pow x 2))
(+ (* 4 (/ (* y (+ t (pow z 2))) (pow x 4))) (/ 1 (pow x 2)))
(+ (* y (- (* 16 (/ (* y (pow (+ t (pow z 2)) 2)) (pow x 6))) (* -4 (/ (+ t (pow z 2)) (pow x 4))))) (/ 1 (pow x 2)))
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(/ -1/4 (* y (+ t (pow z 2))))
(/ (- (* -1/16 (/ (pow x 2) (* y (pow (+ t (pow z 2)) 2)))) (* 1/4 (/ 1 (+ t (pow z 2))))) y)
(/ (- (* -1/64 (/ (pow x 4) (* (pow y 2) (pow (+ t (pow z 2)) 3)))) (+ (* 1/16 (/ (pow x 2) (* y (pow (+ t (pow z 2)) 2)))) (* 1/4 (/ 1 (+ t (pow z 2)))))) y)
(/ (- (* -1/256 (/ (pow x 6) (* (pow y 3) (pow (+ t (pow z 2)) 4)))) (+ (* 1/64 (/ (pow x 4) (* (pow y 2) (pow (+ t (pow z 2)) 3)))) (+ (* 1/16 (/ (pow x 2) (* y (pow (+ t (pow z 2)) 2)))) (* 1/4 (/ 1 (+ t (pow z 2))))))) y)
(/ -1/4 (* y (+ t (pow z 2))))
(* -1 (/ (+ (* 1/16 (/ (pow x 2) (* y (pow (+ t (pow z 2)) 2)))) (* 1/4 (/ 1 (+ t (pow z 2))))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow x 4) (* y (pow (+ t (pow z 2)) 3)))) (* 1/16 (/ (pow x 2) (pow (+ t (pow z 2)) 2)))) y)) (* 1/4 (/ 1 (+ t (pow z 2))))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow x 6) (* y (pow (+ t (pow z 2)) 4)))) (* -1/64 (/ (pow x 4) (pow (+ t (pow z 2)) 3)))) y)) (* 1/16 (/ (pow x 2) (pow (+ t (pow z 2)) 2)))) y)) (* 1/4 (/ 1 (+ t (pow z 2))))) y))
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(- (* (pow x 2) (- (* -1/64 (/ (pow x 2) (* (pow y 3) (pow (+ t (pow z 2)) 3)))) (* 1/16 (/ 1 (* (pow y 2) (pow (+ t (pow z 2)) 2)))))) (* 1/4 (/ 1 (* y (+ t (pow z 2))))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/256 (/ (pow x 2) (* (pow y 4) (pow (+ t (pow z 2)) 4)))) (* 1/64 (/ 1 (* (pow y 3) (pow (+ t (pow z 2)) 3)))))) (* 1/16 (/ 1 (* (pow y 2) (pow (+ t (pow z 2)) 2)))))) (* 1/4 (/ 1 (* y (+ t (pow z 2))))))
(/ 1 (pow x 2))
(/ (+ 1 (* 4 (/ (* y (+ t (pow z 2))) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (* 16 (/ (* (pow y 2) (pow (+ t (pow z 2)) 2)) (pow x 4)))) (* -4 (/ (* y (+ t (pow z 2))) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (* 64 (/ (* (pow y 3) (pow (+ t (pow z 2)) 3)) (pow x 6)))) (+ (* -16 (/ (* (pow y 2) (pow (+ t (pow z 2)) 2)) (pow x 4))) (* -4 (/ (* y (+ t (pow z 2))) (pow x 2))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* 4 (/ (* y (+ t (pow z 2))) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (* 16 (/ (* (pow y 2) (pow (+ t (pow z 2)) 2)) (pow x 4)))) (* -4 (/ (* y (+ t (pow z 2))) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (* 64 (/ (* (pow y 3) (pow (+ t (pow z 2)) 3)) (pow x 6)))) (+ (* -16 (/ (* (pow y 2) (pow (+ t (pow z 2)) 2)) (pow x 4))) (* -4 (/ (* y (+ t (pow z 2))) (pow x 2))))) (pow x 2))
(+ (* -4 (* t y)) (pow x 2))
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(+ (* -4 (* y (pow z 2))) (pow x 2))
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(* t (+ (* -4 y) (+ (* -4 (/ (* y (pow z 2)) t)) (/ (pow x 2) t))))
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(* -1 (* t (+ (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)) (* 4 y))))
(pow x 2)
(+ (* -4 (* y (+ t (pow z 2)))) (pow x 2))
(+ (* -4 (* y (+ t (pow z 2)))) (pow x 2))
(+ (* -4 (* y (+ t (pow z 2)))) (pow x 2))
(* -4 (* y (+ t (pow z 2))))
(* y (+ (* -4 (+ t (pow z 2))) (/ (pow x 2) y)))
(* y (+ (* -4 (+ t (pow z 2))) (/ (pow x 2) y)))
(* y (+ (* -4 (+ t (pow z 2))) (/ (pow x 2) y)))
(* -4 (* y (+ t (pow z 2))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (+ t (pow z 2))))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (+ t (pow z 2))))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (+ t (pow z 2))))))
(* -4 (* y (+ t (pow z 2))))
(+ (* -4 (* y (+ t (pow z 2)))) (pow x 2))
(+ (* -4 (* y (+ t (pow z 2)))) (pow x 2))
(+ (* -4 (* y (+ t (pow z 2)))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ t (pow z 2))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ t (pow z 2))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ t (pow z 2))) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ t (pow z 2))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ t (pow z 2))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ t (pow z 2))) (pow x 2)))))
(* -4 t)
(+ (* -4 t) (* -4 (pow z 2)))
(+ (* -4 t) (* -4 (pow z 2)))
(+ (* -4 t) (* -4 (pow z 2)))
(* -4 (pow z 2))
(* (pow z 2) (- (* -4 (/ t (pow z 2))) 4))
(* (pow z 2) (- (* -4 (/ t (pow z 2))) 4))
(* (pow z 2) (- (* -4 (/ t (pow z 2))) 4))
(* -4 (pow z 2))
(* (pow z 2) (- (* -4 (/ t (pow z 2))) 4))
(* (pow z 2) (- (* -4 (/ t (pow z 2))) 4))
(* (pow z 2) (- (* -4 (/ t (pow z 2))) 4))
(* -4 (pow z 2))
(+ (* -4 t) (* -4 (pow z 2)))
(+ (* -4 t) (* -4 (pow z 2)))
(+ (* -4 t) (* -4 (pow z 2)))
(* -4 t)
(* t (- (* -4 (/ (pow z 2) t)) 4))
(* t (- (* -4 (/ (pow z 2) t)) 4))
(* t (- (* -4 (/ (pow z 2) t)) 4))
(* -4 t)
(* -1 (* t (+ 4 (* 4 (/ (pow z 2) t)))))
(* -1 (* t (+ 4 (* 4 (/ (pow z 2) t)))))
(* -1 (* t (+ 4 (* 4 (/ (pow z 2) t)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(pow x 2)
(*.f64 x x)
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (.f64 x x))
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (.f64 x x))
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (.f64 x x))
(* y (+ (* -4 (pow z 2)) (* 4 t)))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y)
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y))))
(.f64 (fma.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64) (/.f64 (.f64 x x) y)) y)
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y))))
(.f64 (fma.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64) (/.f64 (.f64 x x) y)) y)
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y))))
(.f64 (fma.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64) (/.f64 (.f64 x x) y)) y)
(* -1 (* y (+ (* -4 t) (* 4 (pow z 2)))))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y)
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))))
(.f64 (fma.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64) (/.f64 (.f64 x x) y)) y)
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))))
(.f64 (fma.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64) (/.f64 (.f64 x x) y)) y)
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))))
(.f64 (fma.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64) (/.f64 (.f64 x x) y)) y)
(+ (* 4 (* t y)) (pow x 2))
(fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (.f64 x x))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
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(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (.f64 x x))
(* -4 (* y (pow z 2)))
(.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y (.f64 z z)) t (neg.f64 y)) (.f64 x (/.f64 x (.f64 z z)))) (*.f64 z z))
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(.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y (.f64 z z)) t (neg.f64 y)) (.f64 x (/.f64 x (.f64 z z)))) (*.f64 z z))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y (.f64 z z)) t (neg.f64 y)) (.f64 x (/.f64 x (.f64 z z)))) (*.f64 z z))
(* -4 (* y (pow z 2)))
(.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y (.f64 z z)) t (neg.f64 y)) (.f64 x (/.f64 x (.f64 z z)))) (*.f64 z z))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y (.f64 z z)) t (neg.f64 y)) (.f64 x (/.f64 x (.f64 z z)))) (*.f64 z z))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y (.f64 z z)) t (neg.f64 y)) (.f64 x (/.f64 x (.f64 z z)))) (*.f64 z z))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (.f64 x x))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (.f64 x x))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (.f64 x x))
(* 4 (* t y))
(.f64 (.f64 t y) #s(literal 4 binary64))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (.f64 x x)) t)) t)
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (.f64 x x)) t)) t)
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (.f64 x x)) t)) t)
(* 4 (* t y))
(.f64 (.f64 t y) #s(literal 4 binary64))
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(.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (.f64 x x)) t)) t)
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (.f64 x x)) t)) t)
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y)
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (.f64 x x))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (.f64 x x))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(.f64 (fma.f64 (.f64 y (/.f64 t (.f64 x x))) #s(literal 4 binary64) (fma.f64 (/.f64 (.f64 (.f64 z z) y) (.f64 x x)) #s(literal -4 binary64) #s(literal 1 binary64))) (*.f64 x x))
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(/.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (/.f64 (.f64 (fma.f64 z z t) (fma.f64 z z t)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 z z t) (.f64 x x)) #s(literal 1 binary64))) (*.f64 x x))
(/ (- (+ 1 (* 64 (/ (* (pow y 3) (pow (+ t (pow z 2)) 3)) (pow x 6)))) (+ (* -16 (/ (* (pow y 2) (pow (+ t (pow z 2)) 2)) (pow x 4))) (* -4 (/ (* y (+ t (pow z 2))) (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (.f64 (fma.f64 z z t) (/.f64 (.f64 (fma.f64 z z t) (fma.f64 z z t)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (/.f64 (.f64 (fma.f64 z z t) (fma.f64 z z t)) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 z z t) (.f64 x x)) #s(literal 1 binary64)))) (.f64 x x))
(+ (* -4 (* t y)) (pow x 2))
(fma.f64 x x (.f64 (.f64 #s(literal -4 binary64) y) t))
(+ (* -4 (* t y)) (+ (* -4 (* y (pow z 2))) (pow x 2)))
(fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))
(+ (* -4 (* t y)) (+ (* -4 (* y (pow z 2))) (pow x 2)))
(fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))
(+ (* -4 (* t y)) (+ (* -4 (* y (pow z 2))) (pow x 2)))
(fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))
(* -4 (* y (pow z 2)))
(.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64))
(* (pow z 2) (+ (* -4 y) (+ (* -4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y (.f64 z z)) t y) (.f64 x (/.f64 x (.f64 z z)))) (*.f64 z z))
(* (pow z 2) (+ (* -4 y) (+ (* -4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y (.f64 z z)) t y) (.f64 x (/.f64 x (.f64 z z)))) (*.f64 z z))
(* (pow z 2) (+ (* -4 y) (+ (* -4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y (.f64 z z)) t y) (.f64 x (/.f64 x (.f64 z z)))) (*.f64 z z))
(* -4 (* y (pow z 2)))
(.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64))
(* (pow z 2) (+ (* -4 y) (+ (* -4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y (.f64 z z)) t y) (.f64 x (/.f64 x (.f64 z z)))) (*.f64 z z))
(* (pow z 2) (+ (* -4 y) (+ (* -4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y (.f64 z z)) t y) (.f64 x (/.f64 x (.f64 z z)))) (*.f64 z z))
(* (pow z 2) (+ (* -4 y) (+ (* -4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y (.f64 z z)) t y) (.f64 x (/.f64 x (.f64 z z)))) (*.f64 z z))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(+ (* -4 (* t y)) (+ (* -4 (* y (pow z 2))) (pow x 2)))
(fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))
(+ (* -4 (* t y)) (+ (* -4 (* y (pow z 2))) (pow x 2)))
(fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))
(+ (* -4 (* t y)) (+ (* -4 (* y (pow z 2))) (pow x 2)))
(fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))
(* -4 (* t y))
(.f64 (.f64 #s(literal -4 binary64) y) t)
(* t (+ (* -4 y) (+ (* -4 (/ (* y (pow z 2)) t)) (/ (pow x 2) t))))
(.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (.f64 x x)) t)) t)
(* t (+ (* -4 y) (+ (* -4 (/ (* y (pow z 2)) t)) (/ (pow x 2) t))))
(.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (.f64 x x)) t)) t)
(* t (+ (* -4 y) (+ (* -4 (/ (* y (pow z 2)) t)) (/ (pow x 2) t))))
(.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (.f64 x x)) t)) t)
(* -4 (* t y))
(.f64 (.f64 #s(literal -4 binary64) y) t)
(* -1 (* t (+ (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)) (* 4 y))))
(.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (.f64 x x)) t)) t)
(* -1 (* t (+ (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)) (* 4 y))))
(.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (.f64 x x)) t)) t)
(* -1 (* t (+ (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)) (* 4 y))))
(.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (.f64 x x)) t)) t)
(pow x 2)
(*.f64 x x)
(+ (* -4 (* y (+ t (pow z 2)))) (pow x 2))
(fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))
(+ (* -4 (* y (+ t (pow z 2)))) (pow x 2))
(fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))
(+ (* -4 (* y (+ t (pow z 2)))) (pow x 2))
(fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))
(* -4 (* y (+ t (pow z 2))))
(.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y)
(* y (+ (* -4 (+ t (pow z 2))) (/ (pow x 2) y)))
(.f64 (fma.f64 (fma.f64 z z t) #s(literal -4 binary64) (/.f64 (.f64 x x) y)) y)
(* y (+ (* -4 (+ t (pow z 2))) (/ (pow x 2) y)))
(.f64 (fma.f64 (fma.f64 z z t) #s(literal -4 binary64) (/.f64 (.f64 x x) y)) y)
(* y (+ (* -4 (+ t (pow z 2))) (/ (pow x 2) y)))
(.f64 (fma.f64 (fma.f64 z z t) #s(literal -4 binary64) (/.f64 (.f64 x x) y)) y)
(* -4 (* y (+ t (pow z 2))))
(.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y)
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (+ t (pow z 2))))))
(.f64 (fma.f64 (fma.f64 z z t) #s(literal -4 binary64) (/.f64 (.f64 x x) y)) y)
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (+ t (pow z 2))))))
(.f64 (fma.f64 (fma.f64 z z t) #s(literal -4 binary64) (/.f64 (.f64 x x) y)) y)
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (+ t (pow z 2))))))
(.f64 (fma.f64 (fma.f64 z z t) #s(literal -4 binary64) (/.f64 (.f64 x x) y)) y)
(* -4 (* y (+ t (pow z 2))))
(.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y)
(+ (* -4 (* y (+ t (pow z 2)))) (pow x 2))
(fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))
(+ (* -4 (* y (+ t (pow z 2)))) (pow x 2))
(fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))
(+ (* -4 (* y (+ t (pow z 2)))) (pow x 2))
(fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ t (pow z 2))) (pow x 2)))))
(.f64 (fma.f64 (.f64 (fma.f64 z z t) y) (/.f64 #s(literal -4 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ t (pow z 2))) (pow x 2)))))
(.f64 (fma.f64 (.f64 (fma.f64 z z t) y) (/.f64 #s(literal -4 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ t (pow z 2))) (pow x 2)))))
(.f64 (fma.f64 (.f64 (fma.f64 z z t) y) (/.f64 #s(literal -4 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ t (pow z 2))) (pow x 2)))))
(.f64 (fma.f64 (.f64 (fma.f64 z z t) y) (/.f64 #s(literal -4 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ t (pow z 2))) (pow x 2)))))
(.f64 (fma.f64 (.f64 (fma.f64 z z t) y) (/.f64 #s(literal -4 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ t (pow z 2))) (pow x 2)))))
(.f64 (fma.f64 (.f64 (fma.f64 z z t) y) (/.f64 #s(literal -4 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))
(* -4 t)
(*.f64 t #s(literal -4 binary64))
(+ (* -4 t) (* -4 (pow z 2)))
(*.f64 (fma.f64 z z t) #s(literal -4 binary64))
(+ (* -4 t) (* -4 (pow z 2)))
(*.f64 (fma.f64 z z t) #s(literal -4 binary64))
(+ (* -4 t) (* -4 (pow z 2)))
(*.f64 (fma.f64 z z t) #s(literal -4 binary64))
(* -4 (pow z 2))
(.f64 (.f64 #s(literal -4 binary64) z) z)
(* (pow z 2) (- (* -4 (/ t (pow z 2))) 4))
(.f64 (.f64 (fma.f64 (/.f64 t (*.f64 z z)) #s(literal -4 binary64) #s(literal -4 binary64)) z) z)
(* (pow z 2) (- (* -4 (/ t (pow z 2))) 4))
(.f64 (.f64 (fma.f64 (/.f64 t (*.f64 z z)) #s(literal -4 binary64) #s(literal -4 binary64)) z) z)
(* (pow z 2) (- (* -4 (/ t (pow z 2))) 4))
(.f64 (.f64 (fma.f64 (/.f64 t (*.f64 z z)) #s(literal -4 binary64) #s(literal -4 binary64)) z) z)
(* -4 (pow z 2))
(.f64 (.f64 #s(literal -4 binary64) z) z)
(* (pow z 2) (- (* -4 (/ t (pow z 2))) 4))
(.f64 (.f64 (fma.f64 (/.f64 t (*.f64 z z)) #s(literal -4 binary64) #s(literal -4 binary64)) z) z)
(* (pow z 2) (- (* -4 (/ t (pow z 2))) 4))
(.f64 (.f64 (fma.f64 (/.f64 t (*.f64 z z)) #s(literal -4 binary64) #s(literal -4 binary64)) z) z)
(* (pow z 2) (- (* -4 (/ t (pow z 2))) 4))
(.f64 (.f64 (fma.f64 (/.f64 t (*.f64 z z)) #s(literal -4 binary64) #s(literal -4 binary64)) z) z)
(* -4 (pow z 2))
(.f64 (.f64 #s(literal -4 binary64) z) z)
(+ (* -4 t) (* -4 (pow z 2)))
(*.f64 (fma.f64 z z t) #s(literal -4 binary64))
(+ (* -4 t) (* -4 (pow z 2)))
(*.f64 (fma.f64 z z t) #s(literal -4 binary64))
(+ (* -4 t) (* -4 (pow z 2)))
(*.f64 (fma.f64 z z t) #s(literal -4 binary64))
(* -4 t)
(*.f64 t #s(literal -4 binary64))
(* t (- (* -4 (/ (pow z 2) t)) 4))
(.f64 (fma.f64 (.f64 z z) (/.f64 #s(literal -4 binary64) t) #s(literal -4 binary64)) t)
(* t (- (* -4 (/ (pow z 2) t)) 4))
(.f64 (fma.f64 (.f64 z z) (/.f64 #s(literal -4 binary64) t) #s(literal -4 binary64)) t)
(* t (- (* -4 (/ (pow z 2) t)) 4))
(.f64 (fma.f64 (.f64 z z) (/.f64 #s(literal -4 binary64) t) #s(literal -4 binary64)) t)
(* -4 t)
(*.f64 t #s(literal -4 binary64))
(* -1 (* t (+ 4 (* 4 (/ (pow z 2) t)))))
(.f64 (fma.f64 (.f64 z z) (/.f64 #s(literal -4 binary64) t) #s(literal -4 binary64)) t)
(* -1 (* t (+ 4 (* 4 (/ (pow z 2) t)))))
(.f64 (fma.f64 (.f64 z z) (/.f64 #s(literal -4 binary64) t) #s(literal -4 binary64)) t)
(* -1 (* t (+ 4 (* 4 (/ (pow z 2) t)))))
(.f64 (fma.f64 (.f64 z z) (/.f64 #s(literal -4 binary64) t) #s(literal -4 binary64)) t)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite260.0ms (2.9%)

Memory

19.6MiB live, 334.7MiB allocated

Rules

5 249×	`lower-fma.f32`
5 245×	`lower-fma.f64`
2 255×	`lower-*.f32`
2 244×	`lower-*.f64`
1 652×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	197
0	61	191
1	215	189
2	1439	189
0	8650	185

Stop Event

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

Counts

20 → 391

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) -4) y) (* x x)) (*.f64 x x)))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
#s(approx (+ (* (* (neg t) -4) y) (* x x)) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y))
(.f64 (.f64 #s(literal 4 binary64) t) y)
(*.f64 #s(literal 4 binary64) t)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z))
(.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z)
(.f64 (.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
(fma.f64 x x #s(approx (* (* (+ (* z z) (neg t)) y) -4) (.f64 (.f64 #s(literal 4 binary64) y) t)))
#s(approx (* (* (+ (* z z) (neg t)) y) -4) (.f64 (.f64 #s(literal 4 binary64) y) t))
(.f64 (.f64 #s(literal 4 binary64) y) t)
(*.f64 #s(literal 4 binary64) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x)))
(fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))
(*.f64 (fma.f64 z z t) #s(literal -4 binary64))
(*.f64 x x)

Outputs
(.f64 (fma.f64 #s(approx (+ ( (* (neg t) -4) y) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) -4) y) (* x x)) (.f64 x x)) (.f64 (neg.f64 (.f64 z z)) (.f64 (.f64 y y) (.f64 #s(literal 16 binary64) (.f64 z z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ ( (* (neg t) -4) y) (* x x)) (.f64 x x)) (.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) z))))
(.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z (.f64 z y))) #s(literal 16 binary64)) (.f64 #s(approx (+ (* (* (neg t) -4) y) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) -4) y) (* x x)) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) z) #s(approx (+ (* (* (neg t) -4) y) (* x x)) (*.f64 x x))))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal -64 binary64) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 y y) (.f64 z z)) (.f64 z y)) (.f64 (.f64 #s(approx (+ ( (* (neg t) -4) y) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) -4) y) (* x x)) (.f64 x x))) #s(approx (+ ( (* (neg t) -4) y) (* x x)) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (+ ( (* (neg t) -4) y) (* x x)) (.f64 x x)) (-.f64 #s(approx (+ ( (* (neg t) -4) y) (* x x)) (.f64 x x)) (.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) z)) (.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z (.f64 z y))) #s(literal 16 binary64))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z (.f64 z y))) #s(literal 16 binary64)) (.f64 #s(approx (+ (* (* (neg t) -4) y) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) -4) y) (* x x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) z) #s(approx (+ (* (* (neg t) -4) y) (* x x)) (*.f64 x x)))))
(.f64 (fma.f64 (.f64 #s(literal -64 binary64) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 y y) (.f64 z z)) (.f64 z y)) (.f64 (.f64 #s(approx (+ ( (* (neg t) -4) y) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) -4) y) (* x x)) (.f64 x x))) #s(approx (+ ( (* (neg t) -4) y) (* x x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( (* (neg t) -4) y) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) -4) y) (* x x)) (.f64 x x)) (fma.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z (.f64 z y))) #s(literal 16 binary64) (.f64 (.f64 #s(literal 4 binary64) y) (.f64 (.f64 z z) #s(approx (+ (* (* (neg t) -4) y) (* x x)) (*.f64 x x))))))))
(.f64 (fma.f64 (.f64 #s(literal -64 binary64) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 y y) (.f64 z z)) (.f64 z y)) (.f64 (.f64 #s(approx (+ ( (* (neg t) -4) y) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) -4) y) (* x x)) (.f64 x x))) #s(approx (+ ( (* (neg t) -4) y) (* x x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( (* (neg t) -4) y) (* x x)) (.f64 x x)) (-.f64 #s(approx (+ ( (* (neg t) -4) y) (* x x)) (.f64 x x)) (.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) z)) (.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z (.f64 z y))) #s(literal 16 binary64)))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z y)) #s(literal -4 binary64) #s(approx (+ ( (* (neg t) -4) y) (* x x)) (*.f64 x x))))
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(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z z)) #s(literal 3 binary64)) (pow.f64 (.f64 t #s(literal -4 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) (.f64 z z)) (.f64 #s(literal -4 binary64) (.f64 z z)) (-.f64 (.f64 #s(literal 16 binary64) (.f64 t t)) (.f64 (.f64 #s(literal -4 binary64) (.f64 z z)) (*.f64 t #s(literal -4 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 t #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (.f64 t t) (-.f64 (.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) (.f64 (.f64 z z) #s(literal -4 binary64))) (.f64 (.f64 t #s(literal -4 binary64)) (.f64 (*.f64 z z) #s(literal -4 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 t #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z z)) #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (.f64 t t) (-.f64 (.f64 (.f64 #s(literal -4 binary64) (.f64 z z)) (.f64 #s(literal -4 binary64) (.f64 z z))) (.f64 (.f64 t #s(literal -4 binary64)) (.f64 #s(literal -4 binary64) (*.f64 z z))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) #s(literal -4 binary64))) (neg.f64 (fma.f64 z z (neg.f64 t))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (.f64 t t) t)) #s(literal -4 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 z z) z) z (.f64 t (-.f64 t (*.f64 z z))))))
(/.f64 (neg.f64 (.f64 #s(literal -4 binary64) (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))))) (neg.f64 (fma.f64 z z (neg.f64 t))))
(/.f64 (neg.f64 (.f64 #s(literal -4 binary64) (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (.f64 t t) t)))) (neg.f64 (fma.f64 (.f64 (.f64 z z) z) z (.f64 t (-.f64 t (*.f64 z z))))))
(/.f64 (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) #s(literal -4 binary64)) (fma.f64 z z (neg.f64 t)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (.f64 t t) t)) #s(literal -4 binary64)) (fma.f64 (.f64 (.f64 z z) z) z (.f64 t (-.f64 t (*.f64 z z)))))
(/.f64 (.f64 #s(literal -4 binary64) (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t)))) (fma.f64 z z (neg.f64 t)))
(/.f64 (.f64 #s(literal -4 binary64) (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (.f64 t t) t))) (fma.f64 (.f64 (.f64 z z) z) z (.f64 t (-.f64 t (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (neg.f64 t)) (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 z z) z) z (.f64 t (-.f64 t (.f64 z z)))) (.f64 (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (*.f64 t t) t)) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (neg.f64 t)) (.f64 #s(literal -4 binary64) (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 z z) z) z (.f64 t (-.f64 t (.f64 z z)))) (.f64 #s(literal -4 binary64) (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (*.f64 t t) t)))))
(/.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)))
(fma.f64 (.f64 z z) #s(literal -4 binary64) (.f64 t #s(literal -4 binary64)))
(fma.f64 t #s(literal -4 binary64) (.f64 (.f64 z z) #s(literal -4 binary64)))
(fma.f64 t #s(literal -4 binary64) (.f64 #s(literal -4 binary64) (.f64 z z)))
(fma.f64 #s(literal -4 binary64) (.f64 z z) (.f64 t #s(literal -4 binary64)))
(fma.f64 #s(literal -4 binary64) t (.f64 (.f64 z z) #s(literal -4 binary64)))
(fma.f64 #s(literal -4 binary64) t (.f64 #s(literal -4 binary64) (.f64 z z)))
(+.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) (*.f64 t #s(literal -4 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 z z)) (*.f64 t #s(literal -4 binary64)))
(+.f64 (.f64 t #s(literal -4 binary64)) (.f64 (*.f64 z z) #s(literal -4 binary64)))
(+.f64 (.f64 t #s(literal -4 binary64)) (.f64 #s(literal -4 binary64) (*.f64 z z)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval186.0ms (2%)

Memory: -17.7MiB live, 266.8MiB allocated
Compiler: Compiled 22 756 to 1 340 computations (94.1% saved)

prune202.0ms (2.2%)

Memory

16.7MiB live, 216.2MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1 032	3	1 035
Fresh	1	2	3
Picked	1	4	5
Done	0	3	3
Total	1 034	12	1 046

Accuracy

100.0%

Counts

1 046 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.9%	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) -4) y) (* x x)) (*.f64 x x)))
✓	68.0%	(fma.f64 x x #s(approx (* (* (+ (* z z) (neg t)) y) -4) (.f64 (.f64 #s(literal 4 binary64) y) t)))
▶	33.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y))))
▶	5.0%	#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))) (.f64 (.f64 #s(literal -4 binary64) y) t))
▶	69.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x)))
▶	33.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t))))
✓	60.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
✓	33.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) #s(literal -4 binary64)) y))
✓	35.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z))
▶	30.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
✓	29.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y))
✓	43.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

Compiler

Compiled 208 to 138 computations (33.7% saved)

simplify205.0ms (2.3%)

Memory

-15.9MiB live, 63.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 z z t))
cost-diff	0	(*.f64 y #s(literal -4 binary64))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t))))
cost-diff	1088	(/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)))
cost-diff	0	(.f64 (.f64 z z) y)
cost-diff	0	(/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y))
cost-diff	0	#s(approx (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y))))
cost-diff	0	(*.f64 #s(literal -4 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal -4 binary64) y) t)
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))) (.f64 (.f64 #s(literal -4 binary64) y) t))
cost-diff	0	(*.f64 t y)
cost-diff	0	(.f64 (.f64 t y) #s(literal 4 binary64))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 #s(literal 4 binary64) y)
cost-diff	0	(fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x)))

Rules

1 488×	`lower-fma.f32`
1 486×	`lower-fma.f64`
700×	`lower-*.f32`
691×	`lower-*.f64`
400×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	220
0	57	216
1	102	212
2	204	212
3	546	212
4	1221	212
5	1819	212
6	2638	212
7	3129	212
8	3635	212
9	3790	212
10	3909	212
11	3938	212
12	4399	212
13	4615	212
14	4615	212
15	4615	212
16	4615	212
0	4615	206

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x)))
(fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x))
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
t
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
(.f64 (.f64 t y) #s(literal 4 binary64))
(*.f64 t y)
t
y
#s(literal 4 binary64)
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))) (.f64 (.f64 #s(literal -4 binary64) y) t))
(.f64 (.f64 #s(literal -4 binary64) y) t)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
t
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y))))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y)))
(/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y))
#s(literal -1/4 binary64)
(.f64 (.f64 z z) y)
(*.f64 z z)
z
y
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t))))
(/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)))
(*.f64 y #s(literal -4 binary64))
y
#s(literal -4 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z z t))
#s(literal 1 binary64)
(fma.f64 z z t)
z
t

Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x)))
(fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x))
(fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
t
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y))
(.f64 (.f64 t y) #s(literal 4 binary64))
(.f64 (.f64 t #s(literal 4 binary64)) y)
(*.f64 t y)
t
y
#s(literal 4 binary64)
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))) (.f64 (.f64 #s(literal -4 binary64) y) t))
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))) (.f64 (.f64 #s(literal -4 binary64) t) y))
(.f64 (.f64 #s(literal -4 binary64) y) t)
(.f64 (.f64 #s(literal -4 binary64) t) y)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
t
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z y) z))))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y)))
#s(approx (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z y) z)))
(/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y))
(/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z y) z))
#s(literal -1/4 binary64)
(.f64 (.f64 z z) y)
(.f64 (.f64 z y) z)
(*.f64 z z)
z
y
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z t) y) #s(literal -4 binary64)))
(/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)))
(.f64 (.f64 (fma.f64 z z t) y) #s(literal -4 binary64))
(*.f64 y #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) y)
y
#s(literal -4 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z z t))
#s(literal 1 binary64)
(fma.f64 z z t)
z
t

localize199.0ms (2.2%)

Memory

-5.7MiB live, 108.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal -4 binary64))
accuracy	0.21171309746529055	(/.f64 #s(literal 1 binary64) (fma.f64 z z t))
accuracy	3.166588599973719	(/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)))
accuracy	41.017400556041785	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t))))
accuracy	0.12890625	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y))))
accuracy	0.4712547020513412	(/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y))
accuracy	6.820804032276433	(.f64 (.f64 z z) y)
accuracy	39.51493074485927	#s(approx (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y)))
accuracy	0	(*.f64 #s(literal -4 binary64) y)
accuracy	0.2383646751263458	(.f64 (.f64 #s(literal -4 binary64) y) t)
accuracy	44.489103997144824	#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))) (.f64 (.f64 #s(literal -4 binary64) y) t))
accuracy	0	(*.f64 t y)
accuracy	0.014003759768442016	(.f64 (.f64 t y) #s(literal 4 binary64))
accuracy	44.81680562947353	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 #s(literal 4 binary64) y)
accuracy	0.49617442273190604	(fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x))
accuracy	19.486310215703323	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x)))

Samples

108.0ms

256×

valid

Compiler

Compiled 181 to 34 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-sub: 52.0ms (57.3% of total)

ival-mult: 27.0ms (29.7% of total)

ival-div: 8.0ms (8.8% of total)

ival-add: 3.0ms (3.3% of total)

exact: 1.0ms (1.1% of total)

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

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

series29.0ms (0.3%)

Memory

34.4MiB live, 34.4MiB allocated

Counts

18 → 552

Calls

Call 1

Inputs
#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x))) (patch #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x)) (patch (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 4 binary64) y) (patch (.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64))) (patch #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 t y) #s(literal 4 binary64)) (patch (.f64 (.f64 t y) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))) (.f64 (.f64 #s(literal -4 binary64) y) t)) (patch #s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))) (.f64 (.f64 #s(literal -4 binary64) y) t)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -4 binary64) y) t) (patch (.f64 (.f64 #s(literal -4 binary64) y) t) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -4 binary64) y) (patch (.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y)))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y))) (patch #s(approx (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y)) (patch (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z z) y) (patch (.f64 (.f64 z z) y) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t))) (patch (/.f64 (.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)))) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal -4 binary64)) (patch (.f64 y #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z t)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z t)) #<representation binary64>) () ())

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

Calls

138 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(/ 1 (+ (* z z) t))
1.0ms	y	@	inf	(/ -1/4 (* (* z z) y))
1.0ms	z	@	inf	(/ -1/4 (* (* z z) y))
0.0ms	y	@	0	(/ -1/4 (* (* z z) y))
0.0ms	z	@	0	(/ -1/4 (* (* z z) y))

simplify461.0ms (5%)

Memory

-45.9MiB live, 210.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 262×	`lower-fma.f64`
4 262×	`lower-fma.f32`
2 924×	`lower-*.f64`
2 924×	`lower-*.f32`
1 615×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	452	7077
1	1352	7017
2	4432	6995
0	8470	6488

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

Inputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(pow x 2)
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* -4 (* y (- (pow z 2) t)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* -4 (* y (- (pow z 2) t)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* -4 (* y (pow z 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* -4 (* y (pow z 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 (* t y))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* 4 (* t y))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(pow x 2)
(+ (* 4 (* t y)) (pow x 2))
(+ (* 4 (* t y)) (pow x 2))
(+ (* 4 (* t y)) (pow x 2))
(* 4 (* t y))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* 4 (* t y))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(pow x 2)
(+ (* 4 (* t y)) (pow x 2))
(+ (* 4 (* t y)) (pow x 2))
(+ (* 4 (* t y)) (pow x 2))
(* 4 (* t y))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* 4 (* t y))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(+ (* 4 (* t y)) (pow x 2))
(+ (* 4 (* t y)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(pow x 2)
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* -4 (* y (- (pow z 2) t)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* -4 (* y (- (pow z 2) t)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* -4 (* y (pow z 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* -4 (* y (pow z 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 (* t y))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* 4 (* t y))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
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(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
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(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(/ 1 t)
(+ (* -1 (/ (pow z 2) (pow t 2))) (/ 1 t))
(+ (* (pow z 2) (- (/ (pow z 2) (pow t 3)) (/ 1 (pow t 2)))) (/ 1 t))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (pow t 4))) (/ 1 (pow t 3)))) (/ 1 (pow t 2)))) (/ 1 t))
(/ 1 (pow z 2))
(/ (+ 1 (* -1 (/ t (pow z 2)))) (pow z 2))
(/ (- (+ 1 (/ (pow t 2) (pow z 4))) (/ t (pow z 2))) (pow z 2))
(/ (- (+ 1 (* -1 (/ (pow t 3) (pow z 6)))) (+ (* -1 (/ (pow t 2) (pow z 4))) (/ t (pow z 2)))) (pow z 2))
(/ 1 (pow z 2))
(/ (+ 1 (* -1 (/ t (pow z 2)))) (pow z 2))
(/ (- (+ 1 (/ (pow t 2) (pow z 4))) (/ t (pow z 2))) (pow z 2))
(/ (- (+ 1 (* -1 (/ (pow t 3) (pow z 6)))) (+ (* -1 (/ (pow t 2) (pow z 4))) (/ t (pow z 2)))) (pow z 2))
(/ 1 (pow z 2))
(+ (* -1 (/ t (pow z 4))) (/ 1 (pow z 2)))
(+ (* t (- (/ t (pow z 6)) (/ 1 (pow z 4)))) (/ 1 (pow z 2)))
(+ (* t (- (* t (+ (* -1 (/ t (pow z 8))) (/ 1 (pow z 6)))) (/ 1 (pow z 4)))) (/ 1 (pow z 2)))
(/ 1 t)
(/ (+ 1 (* -1 (/ (pow z 2) t))) t)
(/ (- (+ 1 (/ (pow z 4) (pow t 2))) (/ (pow z 2) t)) t)
(/ (- (+ 1 (* -1 (/ (pow z 6) (pow t 3)))) (+ (* -1 (/ (pow z 4) (pow t 2))) (/ (pow z 2) t))) t)
(/ 1 t)
(* -1 (/ (- (/ (pow z 2) t) 1) t))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) t) (pow z 2)) t)) 1) t))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) t) (pow z 4)) t)) (pow z 2)) t)) 1) t))

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

rewrite329.0ms (3.6%)

Memory

6.8MiB live, 317.6MiB allocated

Rules

4 254×	`lower-fma.f32`
4 252×	`lower-fma.f64`
2 378×	`lower-*.f32`
2 369×	`lower-*.f64`
1 606×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	194
0	57	190
1	194	186
2	1185	186
0	8270	180

Stop Event

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

Counts

18 → 592

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x)))
(fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x))
(*.f64 #s(literal 4 binary64) y)
(*.f64 x x)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
(.f64 (.f64 t y) #s(literal 4 binary64))
(*.f64 t y)
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))) (.f64 (.f64 #s(literal -4 binary64) y) t))
(.f64 (.f64 #s(literal -4 binary64) y) t)
(*.f64 #s(literal -4 binary64) y)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y))))
#s(approx (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y)))
(/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y))
(.f64 (.f64 z z) y)
(/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t))))
(*.f64 y #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 z z t))

Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x)))
(.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 #s(literal -16 binary64) (.f64 (.f64 y y) (.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (*.f64 #s(literal -4 binary64) y) t))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 t t) (.f64 (neg.f64 x) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (.f64 x x)))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 t t) t)) #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 #s(literal -4 binary64) y) t)) (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 t t))))))
(.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 t t) (.f64 (neg.f64 x) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (.f64 x x))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 t t) t)) #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (*.f64 x x))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 t t) t)) #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 #s(literal -4 binary64) y) t)) (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 t t)))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 t t)) (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 t t)) (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (.f64 x x)))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (.f64 x x))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 t t)) (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 t t)) (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 t t)) (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 t t)) (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (.f64 x x))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (.f64 x x))) (.f64 (/.f64 (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 t t)) (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (*.f64 x x)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 #s(literal -16 binary64) (.f64 (.f64 y y) (.f64 t t))))) (neg.f64 (fma.f64 x x (.f64 (.f64 #s(literal -4 binary64) y) t))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 t t) (.f64 (neg.f64 x) (.f64 (.f64 x x) x))))) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 t t) t)) #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 #s(literal -4 binary64) y) t)) (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (*.f64 t t))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (.f64 t t)) (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (.f64 x x))) (.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) (.f64 x x))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 #s(literal -16 binary64) (.f64 (.f64 y y) (.f64 t t)))) (fma.f64 x x (.f64 (.f64 #s(literal -4 binary64) y) t)))
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eval174.0ms (1.9%)

Memory: 44.5MiB live, 351.7MiB allocated
Compiler: Compiled 18 923 to 1 435 computations (92.4% saved)

prune187.0ms (2.1%)

Memory

-18.5MiB live, 340.0MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	1 143	1	1 144
Fresh	0	0	0
Picked	1	4	5
Done	0	7	7
Total	1 144	12	1 156

Accuracy

100.0%

Counts

1 156 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.9%	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) -4) y) (* x x)) (*.f64 x x)))
✓	68.0%	(fma.f64 x x #s(approx (* (* (+ (* z z) (neg t)) y) -4) (.f64 (.f64 #s(literal 4 binary64) y) t)))
✓	33.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y))))
✓	5.0%	#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))) (.f64 (.f64 #s(literal -4 binary64) y) t))
✓	69.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x)))
	33.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (fma.f64 z z t) (/.f64 #s(literal -1/4 binary64) y)))
✓	60.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
✓	33.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) #s(literal -4 binary64)) y))
✓	35.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z))
✓	30.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
✓	29.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y))
✓	43.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

Compiler

Compiled 368 to 154 computations (58.2% saved)

regimes74.0ms (0.8%)

Memory

-4.2MiB live, 167.5MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))) (.f64 (.f64 #s(literal -4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) #s(literal -4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x)))
(fma.f64 x x #s(approx (* (* (+ (* z z) (neg t)) y) -4) (.f64 (.f64 #s(literal 4 binary64) y) t)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) y (*.f64 x x)))
(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) -4) y) (* x x)) (*.f64 x x)))
(fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (fma.f64 z z t) (/.f64 #s(literal -1/4 binary64) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t))))
(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y (.f64 x x)))
(-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 z z (neg.f64 t)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (.f64 x x))))

Outputs

(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) #s(literal -4 binary64)) y (*.f64 x x)))

(fma.f64 x x (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))

Calls

10 calls:

10.0ms	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
8.0ms	t
8.0ms	y
7.0ms	(-.f64 (*.f64 z z) t)
7.0ms	(*.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
94.9%	1	`x`
98.4%	2	`y`
97.6%	2	`z`
94.9%	1	`t`
94.9%	1	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
94.9%	1	`(*.f64 x x)`
94.9%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
98.4%	2	`(*.f64 y #s(literal 4 binary64))`
97.6%	2	`(-.f64 (*.f64 z z) t)`
97.6%	2	`(*.f64 z z)`

Compiler

Compiled 80 to 58 computations (27.5% saved)

regimes73.0ms (0.8%)

Memory

-21.7MiB live, 58.4MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))) (.f64 (.f64 #s(literal -4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) #s(literal -4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x)))
(fma.f64 x x #s(approx (* (* (+ (* z z) (neg t)) y) -4) (.f64 (.f64 #s(literal 4 binary64) y) t)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) y (*.f64 x x)))
(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) -4) y) (* x x)) (*.f64 x x)))
(fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (fma.f64 z z t) (/.f64 #s(literal -1/4 binary64) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 z z) y))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t))))

Outputs
(fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) -4) y) (* x x)) (*.f64 x x)))

Calls

5 calls:

28.0ms	z
27.0ms	(*.f64 y #s(literal 4 binary64))
6.0ms	y
6.0ms	(-.f64 (*.f64 z z) t)
5.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
97.6%	2	`z`
97.6%	2	`(-.f64 (*.f64 z z) t)`
97.6%	2	`(*.f64 z z)`
92.8%	1	`y`
92.8%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes48.0ms (0.5%)

Memory

22.5MiB live, 97.5MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))) (.f64 (.f64 #s(literal -4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) #s(literal -4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x)))
(fma.f64 x x #s(approx (* (* (+ (* z z) (neg t)) y) -4) (.f64 (.f64 #s(literal 4 binary64) y) t)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) y (*.f64 x x)))
(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) -4) y) (* x x)) (*.f64 x x)))

Outputs

#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))

(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) -4) y) (* x x)) (*.f64 x x)))

Calls

10 calls:

6.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
6.0ms	x
5.0ms	(-.f64 (*.f64 z z) t)
4.0ms	(*.f64 y #s(literal 4 binary64))
4.0ms	t

Results

Accuracy	Segments	Branch
80.1%	3	`y`
80.1%	3	`(*.f64 y #s(literal 4 binary64))`
87.7%	2	`x`
87.7%	2	`(*.f64 x x)`
82.4%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
84.2%	3	`t`
86.4%	3	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
90.3%	2	`z`
90.0%	4	`(-.f64 (*.f64 z z) t)`
90.3%	2	`(*.f64 z z)`

Compiler

Compiled 80 to 58 computations (27.5% saved)

regimes23.0ms (0.2%)

Memory

5.0MiB live, 43.2MiB allocated

Counts

12 → 3

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))) (.f64 (.f64 #s(literal -4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) #s(literal -4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x)))
(fma.f64 x x #s(approx (* (* (+ (* z z) (neg t)) y) -4) (.f64 (.f64 #s(literal 4 binary64) y) t)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) y (*.f64 x x)))

Outputs

#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))

#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x)))

#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z))

Calls

5 calls:

6.0ms	(*.f64 x x)
4.0ms	x
4.0ms	z
4.0ms	(-.f64 (*.f64 z z) t)
4.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
87.3%	4	`(-.f64 (*.f64 z z) t)`
85.7%	2	`x`
85.7%	2	`(*.f64 x x)`
88.0%	3	`z`
88.0%	3	`(*.f64 z z)`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes11.0ms (0.1%)

Memory

-22.7MiB live, 19.4MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))) (.f64 (.f64 #s(literal -4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) #s(literal -4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x)))
(fma.f64 x x #s(approx (* (* (+ (* z z) (neg t)) y) -4) (.f64 (.f64 #s(literal 4 binary64) y) t)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))

Outputs

#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))

#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))

#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z))

Calls

2 calls:

6.0ms	z
4.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
87.6%	3	`z`
87.2%	3	`(*.f64 z z)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.2%)

Memory

36.8MiB live, 36.8MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))) (.f64 (.f64 #s(literal -4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) #s(literal -4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) y) t (.f64 x x)))
(fma.f64 x x #s(approx (* (* (+ (* z z) (neg t)) y) -4) (.f64 (.f64 #s(literal 4 binary64) y) t)))

Outputs

#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))

#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
85.3%	2	`(*.f64 z z)`
72.9%	2	`x`
69.6%	1	`(*.f64 x x)`
85.3%	2	`z`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes31.0ms (0.3%)

Memory

-28.6MiB live, 49.9MiB allocated

Counts

7 → 4

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))) (.f64 (.f64 #s(literal -4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) #s(literal -4 binary64)) y))

Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

Calls

10 calls:

5.0ms	x
4.0ms	z
3.0ms	(*.f64 y #s(literal 4 binary64))
3.0ms	y
3.0ms	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))

Results

Accuracy	Segments	Branch
66.3%	3	`(*.f64 x x)`
69.3%	4	`x`
53.3%	4	`y`
53.3%	4	`(*.f64 y #s(literal 4 binary64))`
57.5%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
50.9%	3	`t`
63.4%	3	`(-.f64 (*.f64 z z) t)`
62.4%	3	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
64.9%	4	`(*.f64 z z)`
64.9%	4	`z`

Compiler

Compiled 80 to 58 computations (27.5% saved)

regimes5.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) t) -4) y) (* x x)))) (.f64 (.f64 #s(literal -4 binary64) y) t))

Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

Calls

2 calls:

2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
62.9%	2	`(*.f64 x x)`
62.9%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal 4 binary64) t) y))

#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal 4 binary64) y) t))

Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

Calls

2 calls:

2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
62.6%	2	`x`
62.6%	2	`(*.f64 x x)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y))

Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

Calls

2 calls:

2.0ms	x
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
62.6%	2	`x`
62.6%	2	`(*.f64 x x)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes22.0ms (0.2%)

Memory

-7.1MiB live, 32.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

Calls

10 calls:

10.0ms	(*.f64 z z)
1.0ms	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
1.0ms	(*.f64 y #s(literal 4 binary64))
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
43.6%	1	`t`
43.6%	1	`y`
43.6%	1	`(*.f64 y #s(literal 4 binary64))`
43.6%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
43.6%	1	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
43.6%	1	`z`
43.6%	1	`(*.f64 z z)`
43.6%	1	`(-.f64 (*.f64 z z) t)`
43.6%	1	`x`
43.6%	1	`(*.f64 x x)`

Compiler

Compiled 80 to 58 computations (27.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.02945542574988e-18	9.15001138284547e-17

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.8688100893977077e+292	2.7978958607523973e+299

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.470669007491306e+70	1.2351156027666914e+84

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.212719772341103e+274	5.161651422271287e+277
0.0ms	57201533971105.336	758593095516653.1

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch20.0ms (0.2%)

Memory

-14.6MiB live, 23.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1.2325573724694885e+173	1.8291965796281647e+173
14.0ms	9.732503898004179e+42	8.769083252942078e+43

Samples

9.0ms

144×

valid

Compiler

Compiled 278 to 189 computations (32% saved)

Precisions

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

ival-mult: 3.0ms (61.1% of total)

ival-sub: 1.0ms (20.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.4511023296351123e+91	9.44537159034925e+92

Samples

7.0ms

112×

valid

Compiler

Compiled 209 to 144 computations (31.1% saved)

Precisions

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

ival-mult: 3.0ms (79% of total)

ival-sub: 1.0ms (26.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch49.0ms (0.5%)

Memory

-8.7MiB live, 62.1MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.88574179520994e+83	2.2614535593401346e+87
13.0ms	0.3042283941303592	37886830.62110575
16.0ms	1.1128373034423273e-262	6.173988160083167e-261

Samples

23.0ms

384×

valid

Compiler

Compiled 580 to 410 computations (29.3% saved)

Precisions

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

ival-mult: 9.0ms (68.7% of total)

ival-sub: 3.0ms (22.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	18193027513392038000.0	1.0565038607112743e+20

Samples

6.0ms

96×

valid

Compiler

Compiled 140 to 102 computations (27.1% saved)

Precisions

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

ival-mult: 2.0ms (62% of total)

ival-sub: 1.0ms (31% of total)

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Memory

-10.2MiB live, 23.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.3098625010303966e+38	1.1162004076978275e+40

Samples

11.0ms

112×

valid

Compiler

Compiled 146 to 109 computations (25.3% saved)

Precisions

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

ival-mult: 2.0ms (64.8% of total)

ival-sub: 1.0ms (32.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.3098625010303966e+38	1.1162004076978275e+40

Compiler

Compiled 146 to 109 computations (25.3% saved)

simplify29.0ms (0.3%)

Memory

-34.8MiB live, 24.1MiB allocated

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative_binary64`
3×	`+-commutative_binary64`
3×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	553
1	112	553
2	120	553
3	127	553
4	130	553
5	131	553

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 y #s(literal 4 binary64)) #s(literal 1298074214633707/649037107316853453566312041152512 binary64)) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y (.f64 x x))) (fma.f64 x x (.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 49999999999999996231174218676980242530224466978961762601305327424495174139733038646250984711634202512664485115581272824171827637653339436220866895089029739165367697530233734863997486450265031989402921976551056934000189810184542251067154487752614777886456814711818152920801188793163123882196992 binary64)) (fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ ( (* (neg t) -4) y) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 z z) #s(literal 100000000000000004188152556421145795899143386664033828314342771180699648 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) -4) y) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 z z) #s(literal 100000000000000 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x))) (if (<=.f64 (.f64 z z) #s(literal 99999999999999995981677400789769932612359931733321583285118877944076548466448094957909476304960015890806678857380756006307062602577317320133875536163700284518967198097453618232695975663570046546450378657742479671982722077174989256760731188933351130765773907040474247261585408 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) y (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z))))
(if (<=.f64 z #s(literal 27000000000000001985626766861412425021784064 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x))) (if (<=.f64 z #s(literal 129999999999999993587337021097230020338919602843496016198656695656561204639888989517987553139448130350924402699166066505295312390145051952288212504049775621542954838049947648 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z))))
(if (<=.f64 z #s(literal 470000000000000003018516192473588140910790111424225298551635981141890296139512520955452719104 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z)))
(if (<=.f64 x #s(literal 4542447123496913/1107913932560222642718302084617242634394213707491304322373697056856707228094640652496493097019312046907692196808899173923175472949106175979816042319761510659592576951121881510274623639758153063707231876091920910184135845830200523203728421733043088080742988814006853038686339072 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) z)) (if (<=.f64 x #s(literal 7/4 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y)) (if (<=.f64 x #s(literal 400000000000000012322665292386102763108100816030573385384358976277655941165325746176 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) z)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))))
(if (<=.f64 x #s(literal 58000000000000000000 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 560000000000000002504907756536655249408 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 560000000000000002504907756536655249408 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

Outputs
(if (<=.f64 (.f64 y #s(literal 4 binary64)) #s(literal 1298074214633707/649037107316853453566312041152512 binary64)) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) y (.f64 x x))) (fma.f64 x x (.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))))
(if (<=.f64 (.f64 #s(literal 4 binary64) y) #s(literal 1298074214633707/649037107316853453566312041152512 binary64)) (fma.f64 (.f64 z (.f64 #s(literal -4 binary64) y)) z (fma.f64 (.f64 (neg.f64 #s(literal -4 binary64)) t) y (.f64 x x))) (fma.f64 x x (.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 49999999999999996231174218676980242530224466978961762601305327424495174139733038646250984711634202512664485115581272824171827637653339436220866895089029739165367697530233734863997486450265031989402921976551056934000189810184542251067154487752614777886456814711818152920801188793163123882196992 binary64)) (fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ ( (* (neg t) -4) y) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 z z) #s(literal 49999999999999996231174218676980242530224466978961762601305327424495174139733038646250984711634202512664485115581272824171827637653339436220866895089029739165367697530233734863997486450265031989402921976551056934000189810184542251067154487752614777886456814711818152920801188793163123882196992 binary64)) (fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))) (fma.f64 (.f64 z (.f64 #s(literal -4 binary64) y)) z #s(approx (+ ( (* (neg t) -4) y) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 z z) #s(literal 100000000000000004188152556421145795899143386664033828314342771180699648 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) -4) y) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 z z) #s(literal 100000000000000004188152556421145795899143386664033828314342771180699648 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))) (fma.f64 (.f64 z (.f64 #s(literal -4 binary64) y)) z #s(approx (+ (* (* (neg t) -4) y) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 z z) #s(literal 100000000000000 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x))) (if (<=.f64 (.f64 z z) #s(literal 99999999999999995981677400789769932612359931733321583285118877944076548466448094957909476304960015890806678857380756006307062602577317320133875536163700284518967198097453618232695975663570046546450378657742479671982722077174989256760731188933351130765773907040474247261585408 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) y (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z))))
(if (<=.f64 (.f64 z z) #s(literal 100000000000000 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))) (if (<=.f64 (.f64 z z) #s(literal 99999999999999995981677400789769932612359931733321583285118877944076548466448094957909476304960015890806678857380756006307062602577317320133875536163700284518967198097453618232695975663570046546450378657742479671982722077174989256760731188933351130765773907040474247261585408 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 (.f64 z z) #s(literal -4 binary64)) y (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z))))
(if (<=.f64 z #s(literal 27000000000000001985626766861412425021784064 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x))) (if (<=.f64 z #s(literal 129999999999999993587337021097230020338919602843496016198656695656561204639888989517987553139448130350924402699166066505295312390145051952288212504049775621542954838049947648 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z))))
(if (<=.f64 z #s(literal 27000000000000001985626766861412425021784064 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))) (if (<=.f64 z #s(literal 129999999999999993587337021097230020338919602843496016198656695656561204639888989517987553139448130350924402699166066505295312390145051952288212504049775621542954838049947648 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z))))
(if (<=.f64 z #s(literal 470000000000000003018516192473588140910790111424225298551635981141890296139512520955452719104 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 #s(literal 4 binary64) t) y (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z)))
(if (<=.f64 z #s(literal 470000000000000003018516192473588140910790111424225298551635981141890296139512520955452719104 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t #s(literal 4 binary64)) y (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) z)))
(if (<=.f64 x #s(literal 4542447123496913/1107913932560222642718302084617242634394213707491304322373697056856707228094640652496493097019312046907692196808899173923175472949106175979816042319761510659592576951121881510274623639758153063707231876091920910184135845830200523203728421733043088080742988814006853038686339072 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) z)) (if (<=.f64 x #s(literal 7/4 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y)) (if (<=.f64 x #s(literal 400000000000000012322665292386102763108100816030573385384358976277655941165325746176 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) z)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))))
(if (<=.f64 x #s(literal 4542447123496913/1107913932560222642718302084617242634394213707491304322373697056856707228094640652496493097019312046907692196808899173923175472949106175979816042319761510659592576951121881510274623639758153063707231876091920910184135845830200523203728421733043088080742988814006853038686339072 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) z)) (if (<=.f64 x #s(literal 7/4 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y)) (if (<=.f64 x #s(literal 400000000000000012322665292386102763108100816030573385384358976277655941165325746176 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) z)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))))
(if (<=.f64 x #s(literal 58000000000000000000 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 560000000000000002504907756536655249408 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 560000000000000002504907756536655249408 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) t) y)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 560000000000000002504907756536655249408 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t #s(literal 4 binary64)) y)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

soundness1.6s (17.1%)

Memory

40.0MiB live, 746.9MiB allocated

Rules

8 915×	`lower-fma.f64`
8 915×	`lower-fma.f32`
7 107×	`lower-fma.f64`
7 107×	`lower-fma.f32`
4 749×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	938
1	206	938
2	660	938
3	2613	938
4	7864	938
0	8350	900
0	149	5024
1	495	4934
2	1569	4514
3	5019	4424
0	8382	4177
0	11	28
0	17	28
1	56	28
2	422	28
3	5357	28
0	8525	27
0	414	8166
1	1260	7966
2	4230	7710
0	8093	7139

Stop Event

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

Compiler

Compiled 648 to 324 computations (50% saved)

preprocess123.0ms (1.4%)

Memory

6.4MiB live, 198.7MiB allocated

Remove

(abs x)

(abs z)

Compiler

Compiled 774 to 276 computations (64.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (11.4%)

explain227.0ms (2.5%)

preprocess224.0ms (2.5%)

eval0.0ms (0%)

prune5.0ms (0.1%)

simplify71.0ms (0.8%)

localize35.0ms (0.4%)

series11.0ms (0.1%)

simplify258.0ms (2.8%)

rewrite315.0ms (3.5%)

eval33.0ms (0.4%)

prune46.0ms (0.5%)

simplify61.0ms (0.7%)

localize156.0ms (1.7%)

series69.0ms (0.8%)

simplify301.0ms (3.3%)

rewrite650.0ms (7.1%)

eval479.0ms (5.3%)

prune306.0ms (3.4%)

simplify120.0ms (1.3%)

localize107.0ms (1.2%)

series38.0ms (0.4%)

simplify207.0ms (2.3%)

rewrite260.0ms (2.9%)

eval186.0ms (2%)

prune202.0ms (2.2%)

simplify205.0ms (2.3%)

localize199.0ms (2.2%)

series29.0ms (0.3%)

simplify461.0ms (5%)

rewrite329.0ms (3.6%)

eval174.0ms (1.9%)

prune187.0ms (2.1%)

regimes74.0ms (0.8%)

regimes73.0ms (0.8%)

regimes48.0ms (0.5%)

regimes23.0ms (0.2%)

regimes11.0ms (0.1%)

regimes15.0ms (0.2%)

regimes31.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes22.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch20.0ms (0.2%)

bsearch12.0ms (0.1%)

bsearch49.0ms (0.5%)

bsearch10.0ms (0.1%)

bsearch16.0ms (0.2%)

bsearch1.0ms (0%)

simplify29.0ms (0.3%)

soundness1.6s (17.1%)

preprocess123.0ms (1.4%)

end0.0ms (0%)

Profiling