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

start0.0ms (0%)

Memory: 0.1MiB 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)

sample946.0ms (9.4%)

Memory

-29.4MiB live, 1 385.6MiB allocated

Samples

564.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 331.0ms

ival-mult: 242.0ms (73.2% of total)

ival-sub: 75.0ms (22.7% of total)

ival-true: 6.0ms (1.8% of total)

exact: 5.0ms (1.5% of total)

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

Bogosity

explain202.0ms (2%)

Memory

5.3MiB live, 174.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
25	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
10	-	-	`(-.f64 (.f64 x x) (.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 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`	*no**	25	0
`-.f64`	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`	nan-rescue	10	0
↳	`(*.f64 x x)`	overflow	60
↳	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`	overflow	89
↳	`(-.f64 (*.f64 z z) t)`	overflow	70
↳	`(*.f64 z z)`	overflow	70

Confusion

	Predicted +	Predicted -
+	32	0
-	3	221

Precision

0.9142857142857143

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	32	0	0
-	3	0	221

Precision?

0.9142857142857143

Recall?

1.0

Freqs

test

number	freq
0	221
1	35

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

76.0ms

512×

valid

Compiler

Compiled 103 to 37 computations (64.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 53.0ms (91% of total)

ival-sub: 4.0ms (6.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess360.0ms (3.6%)

Memory

-14.2MiB live, 107.0MiB allocated

Algorithm

1×	egg-herbie

Rules

1 632×	`lower-fma.f64`
1 632×	`lower-fma.f32`
1 572×	`distribute-lft-in`
1 236×	`unsub-neg`
1 122×	`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 y #s(literal 4 binary64)) (-.f64 t (.f64 z z)) (*.f64 x x))

Symmetry

(abs z)

(abs x)

Compiler

Compiled 17 to 11 computations (35.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.9%	(-.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)

simplify92.0ms (0.9%)

Memory

24.6MiB live, 62.6MiB 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

1 632×	`lower-fma.f64`
1 632×	`lower-fma.f32`
784×	`lower-*.f32`
776×	`lower-*.f64`
336×	`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 y #s(literal 4 binary64)) (-.f64 t (.f64 z z)) (*.f64 x x))
(*.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

localize81.0ms (0.8%)

Memory

-2.1MiB live, 35.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 4 binary64))
accuracy	0	(*.f64 x x)
accuracy	2.2031167433208236	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
accuracy	5.92352903923174	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))

Samples

71.0ms

256×

valid

Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-sub: 56.0ms (89.1% of total)

ival-mult: 6.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

series69.0ms (0.7%)

Memory

-25.8MiB live, 12.1MiB 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
59.0ms	y	@	0	(* y 4)
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)))

simplify615.0ms (6.1%)

Memory

27.6MiB live, 652.4MiB allocated

Algorithm

1×	egg-herbie

Rules

17 830×	`lower-fma.f64`
17 830×	`lower-fma.f32`
5 760×	`lower-*.f64`
5 760×	`lower-*.f32`
2 050×	`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 #s(literal -4 binary64) (.f64 y (-.f64 (*.f64 z z) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(* -4 (* y (- (pow z 2) t)))
(.f64 #s(literal -4 binary64) (.f64 y (-.f64 (*.f64 z z) t)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(.f64 y (fma.f64 #s(literal -4 binary64) (-.f64 (.f64 z z) t) (/.f64 (*.f64 x x) y)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(.f64 y (fma.f64 #s(literal -4 binary64) (-.f64 (.f64 z z) t) (/.f64 (*.f64 x x) y)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(.f64 y (fma.f64 #s(literal -4 binary64) (-.f64 (.f64 z z) t) (/.f64 (*.f64 x x) y)))
(* -4 (* y (- (pow z 2) t)))
(.f64 #s(literal -4 binary64) (.f64 y (-.f64 (*.f64 z z) t)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(.f64 y (fma.f64 #s(literal -4 binary64) (-.f64 (.f64 z z) t) (/.f64 (*.f64 x x) y)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(.f64 y (fma.f64 #s(literal -4 binary64) (-.f64 (.f64 z z) t) (/.f64 (*.f64 x x) y)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(.f64 y (fma.f64 #s(literal -4 binary64) (-.f64 (.f64 z z) t) (/.f64 (*.f64 x x) y)))
(- (pow x 2) (* -4 (* t y)))
(fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(* -4 (* y (pow z 2)))
(.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(* -4 (* y (pow z 2)))
(.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)) (*.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(* 4 (* t y))
(.f64 y (.f64 t #s(literal 4 binary64)))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(* 4 (* t y))
(.f64 y (.f64 t #s(literal 4 binary64)))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.f64 x x))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(fma.f64 #s(literal -4 binary64) (.f64 y (-.f64 (.f64 z z) t)) (*.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 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* 4 (* y (- (pow z 2) t)))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* 4 (* y (- (pow z 2) t)))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* 4 (* y (- (pow z 2) t)))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* 4 (* y (- (pow z 2) t)))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* 4 (* y (- (pow z 2) t)))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* 4 (* y (- (pow z 2) t)))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* 4 (* y (- (pow z 2) t)))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* 4 (* y (- (pow z 2) t)))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* 4 (* y (- (pow z 2) t)))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* 4 (* y (- (pow z 2) t)))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* 4 (* y (- (pow z 2) t)))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* -4 (* t y))
(.f64 #s(literal -4 binary64) (.f64 y t))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* 4 (* y (pow z 2)))
(.f64 y (.f64 (*.f64 z z) #s(literal 4 binary64)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* 4 (* y (pow z 2)))
(.f64 y (.f64 (*.f64 z z) #s(literal 4 binary64)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* 4 (* y (pow z 2)))
(.f64 y (.f64 (*.f64 z z) #s(literal 4 binary64)))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* -4 (* t y))
(.f64 #s(literal -4 binary64) (.f64 y t))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* -4 (* t y))
(.f64 #s(literal -4 binary64) (.f64 y t))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y #s(literal 4 binary64)))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(.f64 (-.f64 (.f64 z z) t) (*.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))
(* 4 y)
(*.f64 y #s(literal 4 binary64))

rewrite342.0ms (3.4%)

Memory

11.3MiB live, 715.5MiB allocated

Rules

6 090×	`lower-fma.f64`
6 090×	`lower-fma.f32`
4 794×	`lower-*.f32`
4 786×	`lower-*.f64`
1 978×	`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 x x) (.f64 y (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64))))
(+.f64 (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64))) (*.f64 x x))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 y (.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z (neg.f64 t))))) (fma.f64 y (.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (neg.f64 (/.f64 (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (.f64 y y) #s(literal 16 binary64)))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (*.f64 x x)))))
(+.f64 (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z))) (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (*.f64 x x)))
(+.f64 (fma.f64 x x (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)))) (.f64 #s(literal -4 binary64) (*.f64 y (neg.f64 t))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) (*.f64 x x)))) #s(literal -1 binary64)))
(-.f64 (.f64 x x) (.f64 y (*.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 y (.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z (neg.f64 t))))) (fma.f64 y (.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (/.f64 (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (.f64 y y) #s(literal 16 binary64)))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t)))) (*.f64 x x)))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t)))))
(-.f64 (-.f64 (.f64 x x) (.f64 y (.f64 #s(literal 4 binary64) (.f64 z z)))) (.f64 y (.f64 #s(literal -4 binary64) t)))
(fma.f64 x x (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64))))
(fma.f64 x (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (neg.f64 (/.f64 (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (.f64 y y) #s(literal 16 binary64)))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (neg.f64 (/.f64 (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (.f64 y y) #s(literal 16 binary64)))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 y (.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 64 binary64)) (.f64 (fma.f64 z z (neg.f64 t)) (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z (neg.f64 t))))) (fma.f64 y (.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))
(fma.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) (.f64 x x))
(fma.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)) (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x)))
(fma.f64 #s(literal 4 binary64) (neg.f64 (.f64 y (fma.f64 z z (neg.f64 t)))) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 (neg.f64 y) (fma.f64 z z (neg.f64 t))) (.f64 x x))
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(/.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (neg.f64 t))))
(pow.f64 (.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t))) (.f64 (.f64 y #s(literal 4 binary64)) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (*.f64 t t))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z z t) (.f64 (.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z t)))) #s(literal -1 binary64))
(.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))))
(.f64 #s(literal 4 binary64) (.f64 y (fma.f64 z z (neg.f64 t))))
(.f64 (.f64 y #s(literal 4 binary64)) (fma.f64 z z (neg.f64 t)))
(.f64 (fma.f64 z z (neg.f64 t)) (.f64 y #s(literal 4 binary64)))
(.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (.f64 y #s(literal 4 binary64))))
(.f64 (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t))) (/.f64 (.f64 y #s(literal 4 binary64)) (fma.f64 z (.f64 z (.f64 z z)) (*.f64 t (fma.f64 z z t)))))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z t)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z t)) (.f64 y #s(literal 4 binary64))))
(.f64 (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z t)) (/.f64 (*.f64 y #s(literal 4 binary64)) (fma.f64 z z t)))
(.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z (neg.f64 t))) y)
(.f64 (.f64 y (fma.f64 z z (neg.f64 t))) #s(literal 4 binary64))
(.f64 (.f64 (.f64 y #s(literal 4 binary64)) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))))
(.f64 (.f64 (.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z t))) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)))
(.f64 (/.f64 (.f64 (.f64 y #s(literal 4 binary64)) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t)))) (fma.f64 (.f64 t (fma.f64 z z t)) (.f64 (.f64 t (fma.f64 z z t)) (.f64 t (fma.f64 z z t))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))))) (fma.f64 z (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z z))) (.f64 (.f64 t (fma.f64 z z t)) (-.f64 (.f64 t (fma.f64 z z t)) (.f64 z (.f64 z (.f64 z z)))))))
(.f64 (/.f64 (.f64 (.f64 y #s(literal 4 binary64)) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t)))) (.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t))) (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 t (fma.f64 z z t))))) (-.f64 (.f64 z (.f64 z (.f64 z z))) (*.f64 t (fma.f64 z z t))))
(.f64 (/.f64 (.f64 (.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z t))) (*.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z t))) (fma.f64 z z (neg.f64 t)))
(.f64 (/.f64 (.f64 (.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z t))) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t)))) (fma.f64 t (-.f64 t (.f64 z z)) (.f64 z (.f64 z (.f64 z z)))))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)

eval32.0ms (0.3%)

Memory: 14.0MiB live, 89.9MiB allocated
Compiler: Compiled 10 110 to 542 computations (94.6% saved)

prune54.0ms (0.5%)

Memory

24.4MiB live, 139.1MiB 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
▶	96.4%	(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x)))
▶	89.4%	(fma.f64 x x (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64))))
	89.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) (.f64 x x))))
	20.2%	(-.f64 (.f64 x x) (/.f64 (.f64 (.f64 y #s(literal 4 binary64)) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))))
	65.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x)))
	65.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)) (*.f64 x x)))
	30.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64))))
▶	38.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z))))
▶	39.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
▶	63.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (-.f64 (*.f64 z z) t))))

Compiler

Compiled 340 to 202 computations (40.6% saved)

simplify98.0ms (1%)

Memory

-73.6MiB live, 125.7MiB 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)) #s(literal -4 binary64))
cost-diff	0	(.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)))
cost-diff	0	(fma.f64 x x (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64))))
cost-diff	0	(-.f64 (*.f64 z z) t)
cost-diff	0	(.f64 y (-.f64 (.f64 z z) t))
cost-diff	0	(.f64 #s(literal -4 binary64) (.f64 y (-.f64 (*.f64 z z) t)))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (-.f64 (*.f64 z z) t))))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 #s(literal -4 binary64) (.f64 z z))
cost-diff	0	(.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z)))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z))))
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 y #s(literal -4 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal -4 binary64)) z)
cost-diff	128	(fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x))
cost-diff	512	(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x)))

Rules

1 632×	`lower-fma.f32`
1 624×	`lower-fma.f64`
784×	`lower-*.f32`
762×	`lower-*.f64`
380×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	198
0	51	202
1	96	191
2	194	191
3	518	191
4	1023	191
5	1622	191
6	1844	191
7	1969	191
8	1993	191
9	1995	191
10	1995	191
0	1995	190

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize90.0ms (0.9%)

Memory

0.3MiB live, 156.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64))
accuracy	0	(neg.f64 t)
accuracy	1.5038897356333616	(fma.f64 x x (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64))))
accuracy	5.92352903923174	(.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)))
accuracy	0	(*.f64 z z)
accuracy	0	(.f64 #s(literal -4 binary64) (.f64 y (-.f64 (*.f64 z z) t)))
accuracy	5.92509628063917	(.f64 y (-.f64 (.f64 z z) t))
accuracy	20.151882718453077	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (-.f64 (*.f64 z z) t))))
accuracy	0	(*.f64 z z)
accuracy	0.00390625	(.f64 #s(literal -4 binary64) (.f64 z z))
accuracy	10.766313311574667	(.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z)))
accuracy	36.223629139418634	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z))))
accuracy	0	(*.f64 x x)
accuracy	38.894495939491726	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 t)
accuracy	0.40234375000000006	(fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x))
accuracy	1.6406167433208234	(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x)))

Samples

55.0ms

256×

valid

Compiler

Compiled 186 to 30 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 30.0ms (79.8% of total)

ival-add: 4.0ms (10.6% of total)

ival-sub: 2.0ms (5.3% of total)

ival-neg: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series130.0ms (1.3%)

Memory

6.5MiB live, 42.7MiB allocated

Counts

19 → 564

Calls

Call 1

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

141 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(+ (* x x) (* y (* (+ (* z z) (neg t)) -4)))
2.0ms	y	@	0	(+ (* (* (* y -4) z) z) (+ (* -4 (* y (neg t))) (* x x)))
1.0ms	y	@	inf	(+ (* (* (* y -4) z) z) (+ (* -4 (* y (neg t))) (* x x)))
1.0ms	t	@	0	(+ (* (* (* y -4) z) z) (+ (* -4 (* y (neg t))) (* x x)))
0.0ms	y	@	0	(* (* y -4) z)

simplify352.0ms (3.5%)

Memory

2.8MiB live, 483.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 638×	`lower-fma.f64`
11 638×	`lower-fma.f32`
3 920×	`lower-*.f64`
3 920×	`lower-*.f32`
1 798×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	5579
1	525	5579
2	1631	5075
3	4579	4985
4	7951	4985
0	8413	4732

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

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

rewrite405.0ms (4%)

Memory

19.0MiB live, 650.2MiB allocated

Rules

9 176×	`lower-fma.f32`
9 168×	`lower-fma.f64`
3 988×	`lower-*.f32`
3 966×	`lower-*.f64`
2 384×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	168
0	51	172
1	166	161
2	1275	147
0	9291	147

Stop Event

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

Counts

19 → 803

Calls

Call 1

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

Outputs
(+.f64 (.f64 x x) (.f64 y (*.f64 #s(literal -4 binary64) (fma.f64 z z t))))
(+.f64 (fma.f64 #s(literal -4 binary64) (.f64 y t) (.f64 x x)) (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z))))
(+.f64 (.f64 y (.f64 #s(literal -4 binary64) (fma.f64 z z t))) (*.f64 x x))
(+.f64 (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z))) (fma.f64 #s(literal -4 binary64) (.f64 y t) (*.f64 x x)))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z t)) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z t)) (.f64 #s(literal 16 binary64) (.f64 y y))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z t)) (*.f64 x x)))))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z t)) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 (fma.f64 z z t) (.f64 (fma.f64 z z t) (fma.f64 z z t)))) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z t)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))))
(+.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y)))) (-.f64 (.f64 y (.f64 #s(literal -4 binary64) (fma.f64 z z t))) (.f64 x x))) (neg.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 t t) (.f64 #s(literal 16 binary64) (.f64 y y)))) (-.f64 (.f64 y (.f64 #s(literal -4 binary64) (fma.f64 z z t))) (.f64 x x)))))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y t)) (fma.f64 x x (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z)))))
(+.f64 (fma.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)) (.f64 x x)) (.f64 #s(literal -4 binary64) (*.f64 y t)))
(-.f64 (.f64 x x) (.f64 y (*.f64 #s(literal 4 binary64) (fma.f64 z z t))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z t)) (.f64 x x))) (/.f64 (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z t)) (.f64 #s(literal 16 binary64) (.f64 y y))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z t)) (*.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z t)) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 (fma.f64 z z t) (.f64 (fma.f64 z z t) (fma.f64 z z t)))) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z t)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))))
(-.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y)))) (-.f64 (.f64 y (.f64 #s(literal -4 binary64) (fma.f64 z z t))) (.f64 x x))) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 t t) (.f64 #s(literal 16 binary64) (.f64 y y)))) (-.f64 (.f64 y (.f64 #s(literal -4 binary64) (fma.f64 z z t))) (.f64 x x))))
(-.f64 (fma.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)) (.f64 x x)) (.f64 #s(literal -4 binary64) (*.f64 y t)))
(-.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 t t) (.f64 #s(literal 16 binary64) (.f64 y y)))) (+.f64 (fma.f64 #s(literal -4 binary64) (.f64 y t) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 y (.f64 z z))))) (/.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y)))) (+.f64 (fma.f64 #s(literal -4 binary64) (.f64 y t) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 y (.f64 z z))))))
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z t)) (.f64 #s(literal 16 binary64) (.f64 y y))) (-.f64 (.f64 y (.f64 #s(literal -4 binary64) (fma.f64 z z t))) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 y (.f64 #s(literal -4 binary64) (fma.f64 z z t))) (*.f64 x x))))
(fma.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)) (fma.f64 #s(literal -4 binary64) (.f64 y t) (.f64 x x)))
(fma.f64 y (.f64 #s(literal -4 binary64) (fma.f64 z z t)) (.f64 x x))
(fma.f64 y (.f64 #s(literal -4 binary64) t) (fma.f64 x x (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)))))
(fma.f64 y (.f64 t #s(literal -4 binary64)) (fma.f64 x x (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)))))
(fma.f64 #s(literal -4 binary64) (.f64 y t) (fma.f64 x x (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)))))
(fma.f64 #s(literal -4 binary64) (.f64 y (fma.f64 z z t)) (.f64 x x))
(fma.f64 #s(literal -4 binary64) (.f64 y (.f64 z z)) (fma.f64 #s(literal -4 binary64) (.f64 y t) (.f64 x x)))
(fma.f64 #s(literal -4 binary64) (.f64 (.f64 z z) y) (fma.f64 #s(literal -4 binary64) (.f64 y t) (.f64 x x)))
(fma.f64 (.f64 y #s(literal -4 binary64)) t (fma.f64 x x (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)))))
(fma.f64 (.f64 y #s(literal -4 binary64)) (.f64 z z) (fma.f64 #s(literal -4 binary64) (.f64 y t) (.f64 x x)))
(fma.f64 (.f64 y #s(literal -4 binary64)) (fma.f64 z z t) (.f64 x x))
(fma.f64 z (.f64 (.f64 y #s(literal -4 binary64)) z) (fma.f64 #s(literal -4 binary64) (.f64 y t) (.f64 x x)))
(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z (fma.f64 #s(literal -4 binary64) (.f64 y t) (.f64 x x)))
(fma.f64 t (.f64 y #s(literal -4 binary64)) (fma.f64 x x (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)))))
(fma.f64 t (.f64 y #s(literal 4 binary64)) (fma.f64 x x (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)))))
(fma.f64 (.f64 y t) #s(literal -4 binary64) (fma.f64 x x (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)))))
(fma.f64 (.f64 y t) #s(literal 4 binary64) (fma.f64 x x (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)))))
(fma.f64 x x (.f64 y (.f64 #s(literal -4 binary64) (fma.f64 z z t))))
(fma.f64 #s(literal 4 binary64) (.f64 y t) (fma.f64 x x (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)))))
(fma.f64 #s(literal 4 binary64) (.f64 y (-.f64 t (.f64 z z))) (*.f64 x x))
(fma.f64 (.f64 y #s(literal 4 binary64)) t (fma.f64 x x (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)))))
(fma.f64 (.f64 y #s(literal 4 binary64)) (-.f64 t (.f64 z z)) (*.f64 x x))
(fma.f64 (.f64 z z) (.f64 y #s(literal -4 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 y t) (.f64 x x)))
(fma.f64 (.f64 #s(literal -4 binary64) (.f64 z z)) y (fma.f64 #s(literal -4 binary64) (.f64 y t) (.f64 x x)))
(fma.f64 (fma.f64 z z t) (.f64 y #s(literal -4 binary64)) (.f64 x x))
(fma.f64 (.f64 y (fma.f64 z z t)) #s(literal -4 binary64) (.f64 x x))
(fma.f64 (.f64 #s(literal -4 binary64) (fma.f64 z z t)) y (.f64 x x))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z t)) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 (fma.f64 z z t) (.f64 (fma.f64 z z t) (fma.f64 z z t)))) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z t))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z t)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 (fma.f64 (.f64 t (.f64 t t)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 #s(literal -4 binary64) (.f64 y t) (.f64 x x)) (.f64 (.f64 t t) (.f64 #s(literal 16 binary64) (.f64 y y))))) (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z))))
(fma.f64 (fma.f64 (.f64 t (.f64 t t)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal -4 binary64) (.f64 y t)) (fma.f64 #s(literal -4 binary64) (.f64 y t) (.f64 x x))))) (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z t)) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z t)) (.f64 #s(literal 16 binary64) (.f64 y y))) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z t)) (*.f64 x x)))))
(fma.f64 (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z t)) (.f64 #s(literal 16 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 #s(literal -4 binary64) (fma.f64 z z t)))) (*.f64 x x))
(fma.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y)))) (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z t)) (.f64 x x))) (neg.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 t t) (.f64 #s(literal 16 binary64) (.f64 y y)))) (-.f64 (.f64 y (.f64 #s(literal -4 binary64) (fma.f64 z z t))) (*.f64 x x)))))
(fma.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 t t) (.f64 #s(literal 16 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 y t) (.f64 x x))) (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z))))
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z t))) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal -4 binary64) (.f64 y t)) (.f64 x x)) (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z))))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -4 binary64) (.f64 y t)) (fma.f64 x x (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z)))))
(fma.f64 (fma.f64 (.f64 t t) (.f64 #s(literal 16 binary64) (.f64 y y)) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 y t) (.f64 x x))) (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z))))
(fma.f64 (.f64 #s(literal -4 binary64) z) (.f64 z y) (fma.f64 #s(literal -4 binary64) (.f64 y t) (.f64 x x)))
(fma.f64 (.f64 #s(literal 4 binary64) (fma.f64 z z t)) (neg.f64 y) (.f64 x x))
(fma.f64 (-.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 t t) (.f64 #s(literal 16 binary64) (.f64 y y))) (.f64 (.f64 x x) (fma.f64 #s(literal -4 binary64) (.f64 y t) (.f64 x x))))) (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z))))
(fma.f64 (-.f64 t (.f64 z z)) (.f64 y #s(literal 4 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 z (.f64 z z))) (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y))) (fma.f64 (.f64 t t) (.f64 #s(literal 16 binary64) (.f64 y y)) (.f64 (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z))) (.f64 #s(literal -4 binary64) (.f64 y t)))))) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 y t) (.f64 x x)) (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z))))
(fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) (fma.f64 z z t)) (.f64 x x))
(fma.f64 (neg.f64 y) (.f64 #s(literal -4 binary64) t) (fma.f64 x x (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)))))
(fma.f64 (neg.f64 y) (.f64 t #s(literal -4 binary64)) (fma.f64 x x (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)))))
(fma.f64 (.f64 y (-.f64 t (.f64 z z))) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 (.f64 y (.f64 z z)) #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (.f64 y t) (.f64 x x)))
(fma.f64 (.f64 #s(literal -4 binary64) t) y (fma.f64 x x (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)))))
(fma.f64 (.f64 #s(literal -4 binary64) t) (neg.f64 y) (fma.f64 x x (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)))))
(fma.f64 (.f64 z y) (.f64 #s(literal -4 binary64) z) (fma.f64 #s(literal -4 binary64) (.f64 y t) (.f64 x x)))
(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) #s(literal -1 binary64)) t (fma.f64 x x (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z)))))
(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (.f64 t (.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (.f64 x x))
(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) (.f64 (fma.f64 z z t) (fma.f64 z z t))) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)) (.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 y (.f64 #s(literal -4 binary64) (fma.f64 z z t))))
(fma.f64 (neg.f64 (.f64 (.f64 y #s(literal -4 binary64)) #s(literal -1 binary64))) t (fma.f64 x x (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z)))))
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(*.f64 (fma.f64 z z t) #s(literal -4 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (fma.f64 z z t)))
(.f64 (-.f64 t (.f64 z z)) #s(literal 4 binary64))
(.f64 (.f64 #s(literal -4 binary64) (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (.f64 t (.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (*.f64 t (fma.f64 z z t)))))
(.f64 (.f64 #s(literal -4 binary64) (*.f64 (fma.f64 z z t) (fma.f64 z z t))) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)))
(.f64 (.f64 (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (.f64 t (.f64 t t))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (*.f64 t (fma.f64 z z t)))))
(.f64 (.f64 (*.f64 (fma.f64 z z t) (fma.f64 z z t)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)))
(+.f64 t (*.f64 z z))
(+.f64 (*.f64 z z) t)
(+.f64 #s(literal 0 binary64) (fma.f64 z z t))
(+.f64 (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (neg.f64 (/.f64 (.f64 t (.f64 t t)) (fma.f64 z (.f64 z (.f64 z z)) (*.f64 t (fma.f64 z z t))))))
(+.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z t)) (/.f64 (.f64 t t) (fma.f64 z z t)))
(-.f64 (*.f64 z z) t)
(-.f64 #s(literal 0 binary64) (-.f64 t (*.f64 z z)))
(-.f64 (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (/.f64 (.f64 t (.f64 t t)) (fma.f64 z (.f64 z (.f64 z z)) (*.f64 t (fma.f64 z z t)))))
(-.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z t)) (/.f64 (.f64 t t) (fma.f64 z z t)))
(-.f64 (/.f64 (.f64 t t) (fma.f64 z z t)) (/.f64 (.f64 z (.f64 z (.f64 z z))) (-.f64 t (*.f64 z z))))
(-.f64 (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 t t (fma.f64 z (.f64 z (.f64 z z)) (.f64 z (.f64 z t))))) (/.f64 (.f64 t (.f64 t t)) (fma.f64 t t (fma.f64 z (.f64 z (.f64 z z)) (.f64 z (*.f64 z t))))))
(fma.f64 z z t)
(fma.f64 t #s(literal -1 binary64) (*.f64 z z))
(fma.f64 t #s(literal 1 binary64) (*.f64 z z))
(fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (neg.f64 (/.f64 (.f64 t (.f64 t t)) (fma.f64 z (.f64 z (.f64 z z)) (*.f64 t (fma.f64 z z t))))))
(fma.f64 (.f64 z (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)) (/.f64 (.f64 t t) (fma.f64 z z t)))
(fma.f64 (.f64 t t) (/.f64 #s(literal 1 binary64) t) (.f64 z z))
(fma.f64 (.f64 t (.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 t t #s(literal 0 binary64))) (*.f64 z z))
(fma.f64 #s(literal -1 binary64) t (*.f64 z z))
(fma.f64 #s(literal 1 binary64) t (*.f64 z z))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) t)
(neg.f64 (-.f64 t (*.f64 z z)))
(/.f64 (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (.f64 t (.f64 t t))) (fma.f64 z (.f64 z (.f64 z z)) (*.f64 t (fma.f64 z z t))))
(/.f64 (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (.f64 t (.f64 t t))) (fma.f64 t t (fma.f64 z (.f64 z (.f64 z z)) (.f64 z (.f64 z t)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z t))))
(/.f64 (*.f64 (fma.f64 z z t) (fma.f64 z z t)) (fma.f64 z z t))
(/.f64 (neg.f64 (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (.f64 t (.f64 t t)))) (fma.f64 t (fma.f64 z z t) (neg.f64 (.f64 z (.f64 z (*.f64 z z))))))
(/.f64 (neg.f64 (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (.f64 t (.f64 t t)))) (neg.f64 (fma.f64 t t (fma.f64 z (.f64 z (.f64 z z)) (.f64 z (.f64 z t))))))
(/.f64 (neg.f64 (.f64 (fma.f64 z z t) (fma.f64 z z t))) (-.f64 t (.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t (fma.f64 z (.f64 z (.f64 z z)) (.f64 z (.f64 z t)))) (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (.f64 t (.f64 t t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z t)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t))) (.f64 t (.f64 t t)))) (.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z t)) (.f64 (fma.f64 z z t) (.f64 t t))) (*.f64 (fma.f64 z z t) (fma.f64 z z t)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (.f64 t (.f64 t t))))) (neg.f64 (fma.f64 t (fma.f64 z z t) (neg.f64 (.f64 z (.f64 z (*.f64 z z)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 z z t) (fma.f64 z z t)))) (fma.f64 z z t))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 t (.f64 z z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 t (.f64 z z)) (-.f64 t (.f64 z z)) (.f64 #s(literal 0 binary64) (-.f64 t (*.f64 z z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 t (.f64 t t)) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (fma.f64 (/.f64 (.f64 t (.f64 t t)) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (/.f64 (.f64 t (.f64 t t)) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (.f64 (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (/.f64 (.f64 t (.f64 t t)) (fma.f64 z (.f64 z (.f64 z z)) (*.f64 t (fma.f64 z z t))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z t)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 t t) (fma.f64 z z t)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z t)) (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z t)) (fma.f64 (/.f64 (.f64 t t) (fma.f64 z z t)) (/.f64 (.f64 t t) (fma.f64 z z t)) (.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z t)) (/.f64 (*.f64 t t) (fma.f64 z z t))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 t (.f64 z z)) (-.f64 t (.f64 z z)))) (+.f64 #s(literal 0 binary64) (-.f64 t (.f64 z z))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t))))) (.f64 (/.f64 (.f64 t (.f64 t t)) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (/.f64 (.f64 t (.f64 t t)) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))))) (+.f64 (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))) (/.f64 (.f64 t (.f64 t t)) (fma.f64 z (.f64 z (.f64 z z)) (*.f64 t (fma.f64 z z t))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z t)) (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z t))) (.f64 (/.f64 (.f64 t t) (fma.f64 z z t)) (/.f64 (.f64 t t) (fma.f64 z z t)))) (fma.f64 z z t))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z t)) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (.f64 t (.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))))
(.f64 (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (.f64 t (.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (fma.f64 z (.f64 z (.f64 z z)) (.f64 z (*.f64 z t))))))
(.f64 (.f64 (fma.f64 z z t) (fma.f64 z z t)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)))
(.f64 (neg.f64 (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (.f64 t (.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 t (fma.f64 z z t) (neg.f64 (.f64 z (.f64 z (.f64 z z)))))))
(.f64 (neg.f64 (.f64 (fma.f64 z z t) (fma.f64 z z t))) (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 z z))))
(*.f64 #s(literal 1 binary64) (fma.f64 z z t))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z t)) (.f64 (fma.f64 z z t) (fma.f64 z z t)))
(.f64 (/.f64 (fma.f64 z z t) (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (.f64 t (.f64 t t)))) (/.f64 (fma.f64 z z t) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t))))))
t
(+.f64 #s(literal 0 binary64) t)
(-.f64 #s(literal 0 binary64) t)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) t)
(-.f64 (/.f64 #s(literal 0 binary64) t) t)
(neg.f64 t)
(/.f64 (*.f64 t t) t)
(/.f64 (.f64 t (.f64 t t)) (fma.f64 t t #s(literal 0 binary64)))
(/.f64 (.f64 t (.f64 t t)) (neg.f64 (fma.f64 t t #s(literal 0 binary64))))
(/.f64 (.f64 t (.f64 t t)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 t t) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (.f64 t (.f64 t t))))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
(*.f64 t #s(literal -1 binary64))
(*.f64 t #s(literal 1 binary64))
(.f64 (.f64 t t) (/.f64 #s(literal 1 binary64) t))
(.f64 (.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 t t #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) t)
(*.f64 #s(literal 1 binary64) t)

eval323.0ms (3.2%)

Memory: 19.4MiB live, 389.3MiB allocated
Compiler: Compiled 33 302 to 1 795 computations (94.6% saved)

prune184.0ms (1.8%)

Memory

-11.0MiB live, 408.9MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 434	6	1 440
Fresh	4	1	5
Picked	2	3	5
Done	0	0	0
Total	1 440	10	1 450

Accuracy

100.0%

Counts

1 450 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.7%	(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x)))
▶	64.4%	(fma.f64 x x (.f64 y #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 #s(literal 4 binary64) t))))
	63.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal -4 binary64) (fma.f64 z z t)) (.f64 x x))))
	15.5%	(.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 y (fma.f64 z z t)) (.f64 y (fma.f64 z z t))) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z t)) (*.f64 x x))))
▶	43.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
▶	30.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64))))
✓	38.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z))))
✓	39.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
▶	63.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y))))
✓	63.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (-.f64 (*.f64 z z) t))))

Compiler

Compiled 284 to 166 computations (41.5% saved)

simplify103.0ms (1%)

Memory

-2.4MiB live, 113.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 y)
cost-diff	0	(.f64 #s(literal -4 binary64) (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y)))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y))))
cost-diff	320	(fma.f64 (neg.f64 y) t (.f64 (.f64 z z) y))
cost-diff	0	(*.f64 #s(literal 4 binary64) t)
cost-diff	0	#s(approx (* (+ (* z z) (neg t)) -4) (*.f64 #s(literal 4 binary64) t))
cost-diff	0	(.f64 y #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 #s(literal 4 binary64) t)))
cost-diff	0	(fma.f64 x x (.f64 y #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 #s(literal 4 binary64) t))))
cost-diff	0	(*.f64 y #s(literal -4 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal -4 binary64)) z)
cost-diff	0	(.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z)
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
cost-diff	0	(*.f64 t #s(literal 4 binary64))
cost-diff	0	(.f64 y (.f64 t #s(literal 4 binary64)))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64))))
cost-diff	0	#s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x))
cost-diff	0	(*.f64 y #s(literal -4 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal -4 binary64)) z)
cost-diff	0	(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x)))

Rules

1 896×	`lower-fma.f32`
1 890×	`lower-fma.f64`
880×	`lower-*.f32`
858×	`lower-*.f64`
340×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	228
0	55	225
1	105	219
2	218	217
3	525	217
4	1096	217
5	1606	217
6	1808	217
7	2008	217
8	2098	217
9	2140	217
10	2165	217
11	2168	217
12	2170	217
0	2170	212

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize140.0ms (1.4%)

Memory

6.5MiB live, 156.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 #s(literal -4 binary64) (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y)))
accuracy	0	(neg.f64 y)
accuracy	10.749564383664318	(.f64 (.f64 z z) y)
accuracy	20.151882718453077	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y))))
accuracy	0	(*.f64 #s(literal 4 binary64) t)
accuracy	1.5038897356333616	(fma.f64 x x (.f64 y #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 #s(literal 4 binary64) t))))
accuracy	5.92352903923174	(.f64 y #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 #s(literal 4 binary64) t)))
accuracy	32.740148282213106	#s(approx (* (+ (* z z) (neg t)) -4) (*.f64 #s(literal 4 binary64) t))
accuracy	0	(.f64 (.f64 y #s(literal -4 binary64)) z)
accuracy	0	(*.f64 y #s(literal -4 binary64))
accuracy	0.15625	(.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z)
accuracy	36.223629139418634	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
accuracy	0	(.f64 y (.f64 t #s(literal 4 binary64)))
accuracy	0	(*.f64 t #s(literal 4 binary64))
accuracy	44.659350925055456	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64))))
accuracy	0	(*.f64 y #s(literal -4 binary64))
accuracy	0	(*.f64 x x)
accuracy	1.6406167433208234	(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x)))
accuracy	31.591043745291895	#s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x))

Samples

63.0ms

256×

valid

Compiler

Compiled 188 to 34 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 24.0ms (69.7% of total)

ival-add: 5.0ms (14.5% of total)

ival-sub: 2.0ms (5.8% of total)

ival-neg: 2.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.3%)

Memory

33.4MiB live, 71.4MiB allocated

Counts

19 → 564

Calls

Call 1

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

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

Calls

141 calls:

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

simplify513.0ms (5.1%)

Memory

-55.4MiB live, 659.5MiB allocated

Algorithm

1×	egg-herbie

Rules

16 282×	`lower-fma.f64`
16 282×	`lower-fma.f32`
5 802×	`lower-*.f64`
5 802×	`lower-*.f32`
1 770×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	5585
1	514	5135
2	1575	5081
3	5190	4991
0	8418	4738

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

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

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

rewrite366.0ms (3.6%)

Memory

50.1MiB live, 544.3MiB allocated

Rules

5 512×	`lower-fma.f32`
5 506×	`lower-fma.f64`
4 554×	`lower-*.f32`
4 532×	`lower-*.f64`
3 612×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	199
0	55	196
1	188	190
2	1376	188
0	8479	185

Stop Event

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

Counts

19 → 302

Calls

Call 1

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

Outputs
(+.f64 #s(approx (+ (* -4 (* y (neg t))) (* x x)) (.f64 x x)) (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z))))
(+.f64 (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z))) #s(approx (+ ( -4 (* y (neg t))) (* x x)) (*.f64 x x)))
(+.f64 (/.f64 (.f64 (.f64 (.f64 z z) (.f64 y (.f64 y (.f64 z z)))) #s(literal 16 binary64)) (-.f64 (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z))) #s(approx (+ ( -4 (* y (neg t))) (* x x)) (.f64 x x)))) (neg.f64 (/.f64 (.f64 #s(approx (+ (* -4 (* y (neg t))) (* x x)) (.f64 x x)) #s(approx (+ ( -4 (* y (neg t))) (* x x)) (.f64 x x))) (-.f64 (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z))) #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 z z) (.f64 y (.f64 y (.f64 z z)))) #s(literal 16 binary64)) (-.f64 (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z))) #s(approx (+ ( -4 (* y (neg t))) (* x x)) (.f64 x x)))) (/.f64 (.f64 #s(approx (+ (* -4 (* y (neg t))) (* x x)) (.f64 x x)) #s(approx (+ ( -4 (* y (neg t))) (* x x)) (.f64 x x))) (-.f64 (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z))) #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(approx (+ ( -4 (* y (neg t))) (* x x)) (.f64 x x)) #s(approx (+ ( -4 (* y (neg t))) (* x x)) (.f64 x x))) (-.f64 #s(approx (+ ( -4 (* y (neg t))) (* x x)) (.f64 x x)) (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z))))) (/.f64 (.f64 (.f64 (.f64 z z) (.f64 y (.f64 y (.f64 z z)))) #s(literal 16 binary64)) (-.f64 #s(approx (+ (* -4 (* y (neg t))) (* x x)) (.f64 x x)) (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z))))))
(fma.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)) #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x)))
(fma.f64 y (.f64 (.f64 z z) #s(literal -4 binary64)) #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x)))
(fma.f64 y (.f64 (.f64 #s(literal -4 binary64) z) z) #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x)))
(fma.f64 #s(literal -4 binary64) (.f64 y (.f64 z z)) #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x)))
(fma.f64 (.f64 y #s(literal -4 binary64)) (.f64 z z) #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x)))
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(neg.f64 y)
(/.f64 (neg.f64 (.f64 y (.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 (.f64 y (.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (.f64 y (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 y y)) y)
(/.f64 (neg.f64 (*.f64 y y)) (-.f64 #s(literal 0 binary64) (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y y))) (neg.f64 y))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(.f64 (neg.f64 (.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 y (.f64 z z))
(.f64 z (.f64 y z))
(.f64 (.f64 z z) y)
(.f64 (.f64 y z) z)

eval205.0ms (2%)

Memory: -26.4MiB live, 258.6MiB allocated
Compiler: Compiled 17 004 to 862 computations (94.9% saved)

prune191.0ms (1.9%)

Memory

-8.6MiB live, 307.7MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	915	2	917
Fresh	2	0	2
Picked	0	5	5
Done	0	3	3
Total	917	10	927

Accuracy

100.0%

Counts

927 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.7%	(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x)))
✓	64.4%	(fma.f64 x x (.f64 y #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 #s(literal 4 binary64) t))))
▶	63.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 z z) t)))))
▶	21.8%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 (.f64 y (-.f64 (.f64 z z) t)) (.f64 y (-.f64 (neg.f64 t) (.f64 z z)))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 (neg.f64 t) (*.f64 z z))))))
✓	43.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
✓	30.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64))))
✓	38.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z))))
✓	39.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	63.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y))))
✓	63.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (-.f64 (*.f64 z z) t))))

Compiler

Compiled 150 to 91 computations (39.3% saved)

simplify202.0ms (2%)

Memory

24.1MiB live, 308.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 y (-.f64 (.f64 z z) t))
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 z z) t)))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 z z) t)))))
cost-diff	1088	(/.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 z z) t))))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 (.f64 y (-.f64 (.f64 z z) t)) (.f64 y (-.f64 (neg.f64 t) (.f64 z z)))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 (neg.f64 t) (*.f64 z z))))))
cost-diff	128	(-.f64 (neg.f64 t) (*.f64 z z))
cost-diff	128	(.f64 (.f64 y (-.f64 (.f64 z z) t)) (.f64 y (-.f64 (neg.f64 t) (*.f64 z z))))
cost-diff	2880	(.f64 (.f64 (.f64 (.f64 y (-.f64 (.f64 z z) t)) (.f64 y (-.f64 (neg.f64 t) (.f64 z z)))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 (neg.f64 t) (*.f64 z z)))))

Rules

4 466×	`lower-*.f32`
4 454×	`lower-*.f64`
3 700×	`lower-fma.f64`
3 700×	`lower-fma.f32`
1 824×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	217
0	39	253
1	79	245
2	239	245
3	1339	170
4	7862	170
0	8498	163

Stop Event

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

Calls

Call 1

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

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

localize81.0ms (0.8%)

Memory

-24.6MiB live, 131.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.171875	(/.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 z z) t))))
accuracy	0.5443331609190745	(/.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 z z) t)))
accuracy	5.92509628063917	(.f64 y (-.f64 (.f64 z z) t))
accuracy	20.151882718453077	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 z z) t)))))
accuracy	5.92119003063917	(.f64 y (-.f64 (neg.f64 t) (.f64 z z)))
accuracy	5.92509628063917	(.f64 y (-.f64 (.f64 z z) t))
accuracy	20.151882718453077	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 (.f64 y (-.f64 (.f64 z z) t)) (.f64 y (-.f64 (neg.f64 t) (.f64 z z)))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 (neg.f64 t) (*.f64 z z))))))
accuracy	34.10314169076159	(.f64 (.f64 (.f64 (.f64 y (-.f64 (.f64 z z) t)) (.f64 y (-.f64 (neg.f64 t) (.f64 z z)))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 (neg.f64 t) (*.f64 z z)))))

Samples

38.0ms

256×

valid

Compiler

Compiled 177 to 25 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 13.0ms (55.6% of total)

ival-div: 5.0ms (21.4% of total)

ival-sub: 4.0ms (17.1% of total)

ival-neg: 1.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.3%)

Memory

11.3MiB live, 54.0MiB allocated

Counts

9 → 336

Calls

Call 1

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

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

Calls

84 calls:

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

simplify831.0ms (8.2%)

Memory

-22.1MiB live, 708.5MiB allocated

Algorithm

1×	egg-herbie

Rules

16 578×	`lower-fma.f64`
16 578×	`lower-fma.f32`
4 274×	`lower-*.f64`
4 274×	`lower-*.f32`
3 454×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	265	4317
1	854	4184
2	2846	3963
0	8482	3764

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

rewrite460.0ms (4.6%)

Memory

27.4MiB live, 349.4MiB allocated

Rules

6 784×	`lower-fma.f64`
6 784×	`lower-fma.f32`
6 430×	`lower-*.f32`
6 418×	`lower-*.f64`
2 780×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	154
0	39	146
1	138	131
2	956	111
0	10031	101

Stop Event

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

Counts

9 → 767

Calls

Call 1

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

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

eval346.0ms (3.4%)

Memory: 13.8MiB live, 193.9MiB allocated
Compiler: Compiled 46 490 to 3 585 computations (92.3% saved)

prune382.0ms (3.8%)

Memory

-0.3MiB live, 242.3MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	1 517	4	1 521
Fresh	0	0	0
Picked	2	0	2
Done	0	8	8
Total	1 519	12	1 531

Accuracy

100.0%

Counts

1 531 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.7%	(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x)))
✓	64.4%	(fma.f64 x x (.f64 y #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 #s(literal 4 binary64) t))))
	41.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z (.f64 y t)))))
	38.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* y (- (* z z) t)) (.f64 y (.f64 z z))))))
	60.8%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* y (- (* z z) t)) (.f64 t (.f64 y (fma.f64 z (/.f64 z t) #s(literal -1 binary64))))))))
	8.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (/.f64 #s(literal 4 binary64) (.f64 y (fma.f64 z z t))) (neg.f64 (.f64 (fma.f64 z z t) (.f64 y (*.f64 y (fma.f64 z z t)))))))
✓	43.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
✓	30.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64))))
✓	38.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z))))
✓	39.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	63.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y))))
✓	63.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (-.f64 (*.f64 z z) t))))

Compiler

Compiled 524 to 207 computations (60.5% saved)

regimes92.0ms (0.9%)

Memory

-4.3MiB live, 74.2MiB allocated

Counts

23 → 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 y (.f64 t #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x)))
(fma.f64 x x (.f64 y #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 #s(literal 4 binary64) t))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (-.f64 (*.f64 z z) t))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)) (*.f64 x x)))
(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y))))
(fma.f64 x x (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #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 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* y (- (* z z) t)) (.f64 y (.f64 z z))))))
(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 z z) t)))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z (.f64 y t)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal -4 binary64) (fma.f64 z z t)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) (.f64 x x))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* y (- (* z z) t)) (.f64 t (.f64 y (fma.f64 z (/.f64 z t) #s(literal -1 binary64))))))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (/.f64 #s(literal 4 binary64) (.f64 y (fma.f64 z z t))) (neg.f64 (.f64 (fma.f64 z z t) (.f64 y (*.f64 y (fma.f64 z z t)))))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 (.f64 y (-.f64 (.f64 z z) t)) (.f64 y (-.f64 (neg.f64 t) (.f64 z z)))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 (neg.f64 t) (*.f64 z z))))))
(.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 y (fma.f64 z z t)) (.f64 y (fma.f64 z z t))) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) (fma.f64 z z t)) (*.f64 x x))))
(-.f64 (.f64 x x) (/.f64 (.f64 (.f64 y #s(literal 4 binary64)) (fma.f64 z (.f64 z (.f64 z (.f64 z (.f64 z z)))) (.f64 t (.f64 t t)))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 t (fma.f64 z z t)))))

Outputs

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

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

Calls

10 calls:

27.0ms	(-.f64 (*.f64 z z) t)
10.0ms	y
7.0ms	t
7.0ms	(*.f64 y #s(literal 4 binary64))
7.0ms	z

Results

Accuracy	Segments	Branch
96.4%	1	`x`
98.0%	2	`y`
98.3%	2	`z`
96.4%	1	`t`
96.4%	1	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
96.4%	1	`(*.f64 x x)`
96.4%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
98.0%	2	`(*.f64 y #s(literal 4 binary64))`
98.3%	2	`(-.f64 (*.f64 z z) t)`
98.3%	2	`(*.f64 z z)`

Compiler

Compiled 80 to 58 computations (27.5% saved)

regimes65.0ms (0.6%)

Memory

-34.2MiB live, 26.8MiB allocated

Counts

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

Outputs

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

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

Calls

5 calls:

42.0ms	(-.f64 (*.f64 z z) t)
6.0ms	(*.f64 y #s(literal 4 binary64))
6.0ms	y
5.0ms	z
5.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
98.0%	2	`y`
98.0%	2	`(*.f64 y #s(literal 4 binary64))`
96.4%	1	`z`
96.4%	1	`(-.f64 (*.f64 z z) t)`
96.4%	1	`(*.f64 z z)`

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes48.0ms (0.5%)

Memory

4.5MiB live, 119.8MiB 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 y (.f64 t #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x)))
(fma.f64 x x (.f64 y #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 #s(literal 4 binary64) t))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (-.f64 (*.f64 z z) t))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)) (*.f64 x x)))
(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y))))
(fma.f64 x x (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #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 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* y (- (* z z) t)) (.f64 y (.f64 z z))))))

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
92.2%	2	`x`
96.8%	2	`z`
89.4%	1	`t`
92.2%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
92.2%	2	`(*.f64 x x)`
89.4%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
96.8%	2	`(-.f64 (*.f64 z z) t)`
96.8%	2	`(*.f64 z z)`
92.8%	3	`y`
92.8%	3	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 80 to 58 computations (27.5% saved)

regimes13.0ms (0.1%)

Memory

-5.9MiB live, 35.8MiB 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 y (.f64 t #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal -4 binary64) (*.f64 z z))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x)))
(fma.f64 x x (.f64 y #s(approx ( (+ (* z z) (neg t)) -4) (*.f64 #s(literal 4 binary64) t))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 y (-.f64 (*.f64 z z) t))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)) (*.f64 x x)))
(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y))))

Outputs

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

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

Calls

3 calls:

5.0ms	(-.f64 (*.f64 z z) t)
4.0ms	z
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
87.9%	3	`(-.f64 (*.f64 z z) t)`
93.2%	2	`z`
93.2%	2	`(*.f64 z z)`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes31.0ms (0.3%)

Memory

3.9MiB live, 81.4MiB allocated

Counts

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

Outputs

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

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
80.0%	3	`t`
83.7%	5	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
78.2%	4	`y`
78.2%	4	`(*.f64 y #s(literal 4 binary64))`
85.3%	5	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
88.3%	3	`(*.f64 x x)`
88.3%	3	`x`
91.3%	3	`z`
91.2%	3	`(*.f64 z z)`

Compiler

Compiled 71 to 52 computations (26.8% saved)

regimes6.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
87.3%	2	`(*.f64 z z)`
87.3%	2	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes26.0ms (0.3%)

Memory

-12.4MiB live, 67.8MiB allocated

Counts

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

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

Calls

10 calls:

5.0ms	t
4.0ms	z
2.0ms	x
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	y

Results

Accuracy	Segments	Branch
53.8%	5	`y`
53.8%	5	`(*.f64 y #s(literal 4 binary64))`
57.2%	4	`t`
61.4%	4	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
64.0%	4	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
67.3%	4	`(-.f64 (*.f64 z z) t)`
68.3%	2	`(*.f64 x x)`
68.3%	2	`x`
66.1%	3	`z`
66.1%	3	`(*.f64 z z)`

Compiler

Compiled 80 to 58 computations (27.5% saved)

regimes9.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

3 → 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 y (*.f64 t #s(literal 4 binary64))))

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

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

Calls

5 calls:

2.0ms	x
2.0ms	z
2.0ms	(-.f64 (*.f64 z z) t)
2.0ms	(*.f64 x x)
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
62.2%	4	`(-.f64 (*.f64 z z) t)`
61.0%	3	`z`
61.0%	3	`(*.f64 z z)`
66.9%	4	`x`
66.4%	4	`(*.f64 x x)`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes14.0ms (0.1%)

Memory

-28.6MiB live, 11.0MiB 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 y (.f64 t #s(literal 4 binary64))))

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

Calls

3 calls:

11.0ms	(*.f64 x x)
2.0ms	x
1.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))

Results

Accuracy	Segments	Branch
55.0%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
60.6%	2	`(*.f64 x x)`
60.6%	2	`x`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes13.0ms (0.1%)

Memory

31.4MiB live, 31.4MiB 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:

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

Results

Accuracy	Segments	Branch
39.2%	1	`y`
39.2%	1	`(*.f64 y #s(literal 4 binary64))`
39.2%	1	`t`
39.2%	1	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
39.2%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
39.2%	1	`(-.f64 (*.f64 z z) t)`
39.2%	1	`z`
39.2%	1	`(*.f64 z z)`
39.2%	1	`x`
39.2%	1	`(*.f64 x x)`

Compiler

Compiled 80 to 58 computations (27.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.167584560435672e+288	3.2763280857769725e+290

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	2.992832830236713e+22	3.84694882189337e+23

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	1.1028842206860546e+201	1.7082233401662291e+208

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	6.387983827651492e+52	1.1159539374423996e+61

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch47.0ms (0.5%)

Memory

-21.0MiB live, 56.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.4575923582518555e+176	1.2870259691313705e+177
35.0ms	2.5274461077640197e+26	3.3405896746568556e+30

Samples

36.0ms

224×

valid

Compiler

Compiled 434 to 284 computations (34.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 28.0ms (92.2% of total)

ival-sub: 2.0ms (6.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Memory

-5.6MiB live, 34.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.791088341649357e+45	2.933362036118889e+49

Samples

9.0ms

128×

valid

Compiler

Compiled 236 to 162 computations (31.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (80.4% of total)

ival-sub: 1.0ms (16.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Memory

22.7MiB live, 22.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	9.073035579169808e+39	2.1319963137397897e+40

Samples

5.0ms

80×

valid

Compiler

Compiled 130 to 93 computations (28.5% saved)

Precisions

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

ival-mult: 2.0ms (74.8% of total)

ival-sub: 1.0ms (37.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Memory

-14.3MiB live, 63.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
7.0ms	9.073035579169808e+39	2.1319963137397897e+40
9.0ms	2.3249940264199716e-64	1.1697189561521433e-63
7.0ms	1.2112015059567582e-218	2.2886639272619435e-218

Samples

14.0ms

224×

valid

Compiler

Compiled 370 to 263 computations (28.9% saved)

Precisions

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

ival-mult: 6.0ms (69.8% of total)

ival-sub: 2.0ms (23.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Memory

-6.4MiB live, 30.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.0187224227581848e-20	7.6212225554344e-18

Samples

9.0ms

128×

valid

Compiler

Compiled 164 to 122 computations (25.6% saved)

Precisions

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

ival-sub: 3.0ms (56.4% of total)

ival-mult: 2.0ms (37.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify17.0ms (0.2%)

Memory

-10.8MiB live, 34.8MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	478
1	103	478
2	111	478
3	117	478
4	120	478
5	121	478

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 z z) #s(literal 10000000000000000617278335278671568869943723109630112583100528505388133765396715589425391709444647966943104584514912613103459078543395617173821153536698722855425910210916188218613474303381375362727338596024627724499484625789034803081540112423670420191213257583185130503608895092113260150784 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) (.f64 x x)))) (fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z #s(approx (+ ( -4 (* y (neg t))) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 y #s(literal 4 binary64)) #s(literal 49999999999999995805696 binary64)) (fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x))) (fma.f64 x x (.f64 y (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000075437570586113100583483587428342015849340673157127109307768780889987238092472299178586150828218174779399311063166469829621512011260037850846257586385582161733844441599984006649220169728 binary64)) (fma.f64 x x (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)))) (fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z #s(approx (+ ( -4 (* y (neg t))) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 z z) #s(literal 99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) (fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x))))
(if (<=.f64 z #s(literal 149999999999999995945819308032 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) (if (<=.f64 z #s(literal 150000000000000001117347075311147983716299240787473080853946381196895977870172424039557981456086058761269840390417696942558815074921465977463585386167435825564480834604065882112 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)) (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))))
(if (<=.f64 z #s(literal 13500000000000000510789242693921982591770638155776 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z)))
(if (<=.f64 x #s(literal 15999999999999999035346661945650857377792 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
(if (<=.f64 x #s(literal 794889263257963/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)))) (if (<=.f64 x #s(literal 5928554968950589/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 x #s(literal 10999999999999999487916557539463611285504 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))))
(if (<=.f64 (.f64 x x) #s(literal 571152654438831/20769187434139310514121985316880384 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) #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 z z) #s(literal 10000000000000000617278335278671568869943723109630112583100528505388133765396715589425391709444647966943104584514912613103459078543395617173821153536698722855425910210916188218613474303381375362727338596024627724499484625789034803081540112423670420191213257583185130503608895092113260150784 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) (.f64 x x)))) (fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z #s(approx (+ ( -4 (* y (neg t))) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 z z) #s(literal 10000000000000000617278335278671568869943723109630112583100528505388133765396715589425391709444647966943104584514912613103459078543395617173821153536698722855425910210916188218613474303381375362727338596024627724499484625789034803081540112423670420191213257583185130503608895092113260150784 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) (.f64 x x)))) (fma.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z #s(approx (+ ( -4 (* y (neg t))) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 y #s(literal 4 binary64)) #s(literal 49999999999999995805696 binary64)) (fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z (fma.f64 #s(literal -4 binary64) (.f64 y (neg.f64 t)) (.f64 x x))) (fma.f64 x x (.f64 y (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)))))
(if (<=.f64 (.f64 y #s(literal 4 binary64)) #s(literal 49999999999999995805696 binary64)) (fma.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z (fma.f64 #s(literal -4 binary64) (neg.f64 (.f64 y t)) (.f64 x x))) (fma.f64 x x (.f64 y (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000075437570586113100583483587428342015849340673157127109307768780889987238092472299178586150828218174779399311063166469829621512011260037850846257586385582161733844441599984006649220169728 binary64)) (fma.f64 x x (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)))) (fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z #s(approx (+ ( -4 (* y (neg t))) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 z z) #s(literal 2000000000000000075437570586113100583483587428342015849340673157127109307768780889987238092472299178586150828218174779399311063166469829621512011260037850846257586385582161733844441599984006649220169728 binary64)) (fma.f64 x x (.f64 y (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)))) (fma.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z #s(approx (+ ( -4 (* y (neg t))) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 z z) #s(literal 99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) (fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 z z) #s(literal 99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) (fma.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z #s(approx (+ (* -4 (* y (neg t))) (* x x)) (*.f64 x x))))
(if (<=.f64 z #s(literal 149999999999999995945819308032 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) (if (<=.f64 z #s(literal 150000000000000001117347075311147983716299240787473080853946381196895977870172424039557981456086058761269840390417696942558815074921465977463585386167435825564480834604065882112 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)) (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z))))
(if (<=.f64 z #s(literal 149999999999999995945819308032 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) (if (<=.f64 z #s(literal 150000000000000001117347075311147983716299240787473080853946381196895977870172424039557981456086058761269840390417696942558815074921465977463585386167435825564480834604065882112 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 (.f64 z z) #s(literal -4 binary64)) (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 z (.f64 z (*.f64 y #s(literal -4 binary64)))))))
(if (<=.f64 z #s(literal 13500000000000000510789242693921982591770638155776 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 y #s(literal -4 binary64)) z) z)))
(if (<=.f64 z #s(literal 13500000000000000510789242693921982591770638155776 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 y (.f64 t #s(literal 4 binary64)) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 z (.f64 z (*.f64 y #s(literal -4 binary64))))))
(if (<=.f64 x #s(literal 15999999999999999035346661945650857377792 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
(if (<=.f64 x #s(literal 15999999999999999035346661945650857377792 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 z (.f64 z (.f64 y #s(literal -4 binary64))))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
(if (<=.f64 x #s(literal 794889263257963/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)))) (if (<=.f64 x #s(literal 5928554968950589/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 x #s(literal 10999999999999999487916557539463611285504 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 #s(literal -4 binary64) (.f64 z z)))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))))
(if (<=.f64 x #s(literal 794889263257963/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 (.f64 z z) #s(literal -4 binary64)))) (if (<=.f64 x #s(literal 5928554968950589/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) (if (<=.f64 x #s(literal 10999999999999999487916557539463611285504 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 (.f64 z z) #s(literal -4 binary64)))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))))
(if (<=.f64 (.f64 x x) #s(literal 571152654438831/20769187434139310514121985316880384 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 y (.f64 t #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

soundness1.3s (12.9%)

Memory

28.7MiB live, 784.1MiB allocated

Rules

17 830×	`lower-fma.f64`
17 830×	`lower-fma.f32`
11 638×	`lower-fma.f64`
11 638×	`lower-fma.f32`
9 176×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	168
0	51	172
1	166	161
2	1275	147
0	9291	147
0	68	938
1	206	938
2	660	938
3	2613	938
4	7864	938
0	8350	900
0	11	28
0	17	28
1	56	28
2	422	28
3	5357	28
0	8525	27
0	159	5579
1	525	5579
2	1631	5075
3	4579	4985
4	7951	4985
0	8413	4732

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
1×	iter limit

Compiler

Compiled 635 to 310 computations (51.2% saved)

preprocess89.0ms (0.9%)

Memory

14.6MiB live, 166.1MiB allocated

Remove

(abs x)

(abs z)

Compiler

Compiled 730 to 260 computations (64.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample946.0ms (9.4%)

explain202.0ms (2%)

preprocess360.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify92.0ms (0.9%)

localize81.0ms (0.8%)

series69.0ms (0.7%)

simplify615.0ms (6.1%)

rewrite342.0ms (3.4%)

eval32.0ms (0.3%)

prune54.0ms (0.5%)

simplify98.0ms (1%)

localize90.0ms (0.9%)

series130.0ms (1.3%)

simplify352.0ms (3.5%)

rewrite405.0ms (4%)

eval323.0ms (3.2%)

prune184.0ms (1.8%)

simplify103.0ms (1%)

localize140.0ms (1.4%)

series27.0ms (0.3%)

simplify513.0ms (5.1%)

rewrite366.0ms (3.6%)

eval205.0ms (2%)

prune191.0ms (1.9%)

simplify202.0ms (2%)

localize81.0ms (0.8%)

series27.0ms (0.3%)

simplify831.0ms (8.2%)

rewrite460.0ms (4.6%)

eval346.0ms (3.4%)

prune382.0ms (3.8%)

regimes92.0ms (0.9%)

regimes65.0ms (0.6%)

regimes48.0ms (0.5%)

regimes13.0ms (0.1%)

regimes31.0ms (0.3%)

regimes6.0ms (0.1%)

regimes26.0ms (0.3%)

regimes9.0ms (0.1%)

regimes14.0ms (0.1%)

regimes13.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch47.0ms (0.5%)

bsearch15.0ms (0.2%)

bsearch8.0ms (0.1%)

bsearch26.0ms (0.3%)

bsearch14.0ms (0.1%)

simplify17.0ms (0.2%)

soundness1.3s (12.9%)

preprocess89.0ms (0.9%)

end0.0ms (0%)

Profiling