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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample1.3s (15%)

Memory

6.0MiB live, 1 446.1MiB allocated

Samples

872.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 406.0ms

ival-mult: 288.0ms (70.9% of total)

ival-sub: 104.0ms (25.6% of total)

ival-true: 6.0ms (1.5% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain202.0ms (2.3%)

Memory

13.0MiB live, 330.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
13	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
9	-	-	`(-.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**	13	0
`-.f64`	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`	nan-rescue	9	0
↳	`(*.f64 x x)`	overflow	66
↳	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`	overflow	74
↳	`(-.f64 (*.f64 z z) t)`	overflow	55
↳	`(*.f64 z z)`	overflow	55

Confusion

	Predicted +	Predicted -
+	22	0
-	0	234

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	22	0	0
-	0	0	234

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	234
1	22

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 99 to 37 computations (62.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 21.0ms (78.5% of total)

ival-sub: 4.0ms (14.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess242.0ms (2.8%)

Memory

7.4MiB live, 82.1MiB 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 (-.f64 t (.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))

Symmetry

(abs z)

(abs x)

Compiler

Compiled 13 to 11 computations (15.4% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.6%	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify56.0ms (0.6%)

Memory

13.8MiB live, 49.9MiB 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 (-.f64 t (.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
(.f64 (.f64 (-.f64 t (*.f64 z z)) y) #s(literal -4 binary64))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t

localize49.0ms (0.6%)

Memory

-24.8MiB live, 44.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(-.f64 (*.f64 z z) t)
accuracy	2.101550114981235	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
accuracy	3.0719034988941067	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))

Samples

26.0ms

256×

valid

Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions

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

ival-mult: 6.0ms (70.1% of total)

ival-sub: 2.0ms (23.4% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.4%)

Memory

-10.2MiB live, 27.4MiB allocated

Counts

5 → 132

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>) () ())
#s(alt (-.f64 (.f64 z z) t) (patch (-.f64 (.f64 z z) t) #<representation binary64>) () ())

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

Calls

12 calls:

Time	Variable		Point	Expression
19.0ms	z	@	inf	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t))
1.0ms	y	@	0	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t))
1.0ms	y	@	inf	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t))
1.0ms	y	@	-inf	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t))
1.0ms	t	@	0	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t))

simplify201.0ms (2.3%)

Memory

10.7MiB live, 197.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 692×	`lower-fma.f64`
14 692×	`lower-fma.f32`
4 378×	`lower-*.f64`
4 378×	`lower-*.f32`
2 550×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	1355
1	248	1343
2	810	1151
3	3626	1115
4	7081	1115
0	8368	1071

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite392.0ms (4.5%)

Memory

8.7MiB live, 292.4MiB 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	33
0	17	33
1	56	33
2	422	33
3	5357	33
0	8525	32

Stop Event

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

Counts

5 → 262

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))
(-.f64 (*.f64 z z) t)

Outputs
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eval107.0ms (1.2%)

Memory: -40.5MiB live, 116.4MiB allocated
Compiler: Compiled 10 015 to 889 computations (91.1% saved)

prune14.0ms (0.2%)

Memory

-6.3MiB live, 31.4MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	386	8	394
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	387	8	395

Accuracy

100.0%

Counts

395 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.6%	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)))
	94.0%	(fma.f64 x x (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
▶	91.6%	(-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))))
	69.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
▶	59.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
	32.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t))
▶	45.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
▶	34.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))

Compiler

Compiled 160 to 154 computations (3.8% saved)

simplify76.0ms (0.9%)

Memory

8.3MiB live, 45.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 4 binary64) y)
cost-diff	0	(*.f64 x x)
cost-diff	128	(-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))))
cost-diff	6848	(/.f64 (.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (.f64 z z) t) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 z z (neg.f64 t))
cost-diff	0	(*.f64 (fma.f64 z z (neg.f64 t)) y)
cost-diff	0	(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) y)
cost-diff	0	(.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
cost-diff	0	(*.f64 #s(literal -4 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal -4 binary64) y) z)
cost-diff	128	(fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))
cost-diff	512	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)))

Rules

1 648×	`lower-fma.f32`
1 642×	`lower-fma.f64`
800×	`lower-*.f32`
780×	`lower-*.f64`
324×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	210
0	54	211
1	103	205
2	222	203
3	564	203
4	1039	203
5	1676	203
6	2103	203
7	2414	203
8	2445	203
9	2447	203
10	2447	203
0	2447	197

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize180.0ms (2.1%)

Memory

-3.3MiB live, 110.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (*.f64 z z) t)
accuracy	0.5185970873134086	(pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))
accuracy	2.101550114981235	(-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))))
accuracy	3.02835219693335	(/.f64 (.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (.f64 z z) t) #s(literal -1 binary64)))
accuracy	0	(neg.f64 t)
accuracy	0.0078125	(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
accuracy	3.2737199628182574	(*.f64 (fma.f64 z z (neg.f64 t)) y)
accuracy	23.760225384526763	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
accuracy	0	(*.f64 z z)
accuracy	0.016288769536884032	(.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y))
accuracy	7.588228639862795	(.f64 (.f64 z z) y)
accuracy	39.90951826304222	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))
accuracy	0	(*.f64 x x)
accuracy	34.98233643921806	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
accuracy	0	(*.f64 #s(literal -4 binary64) y)
accuracy	0	(neg.f64 t)
accuracy	1.3984292433208234	(fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))
accuracy	1.6445223050961777	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)))

Samples

127.0ms

256×

valid

Compiler

Compiled 196 to 32 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 23.0ms (43.7% of total)

ival-sub: 20.0ms (38% of total)

ival-add: 3.0ms (5.7% of total)

ival-pow: 3.0ms (5.7% of total)

ival-div: 2.0ms (3.8% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series359.0ms (4.1%)

Memory

29.9MiB live, 97.2MiB allocated

Counts

20 → 588

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
162.0ms	y	@	-inf	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (* z z) y)) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* z z) (neg t)) (/ (* 4 y) (pow (- (* z z) t) -1)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* 4 y) (neg t) (pow (- (* z z) t) -1) (- (* z z) t))
5.0ms	y	@	inf	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (* z z) y)) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* z z) (neg t)) (/ (* 4 y) (pow (- (* z z) t) -1)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* 4 y) (neg t) (pow (- (* z z) t) -1) (- (* z z) t))
3.0ms	t	@	0	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (* z z) y)) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* z z) (neg t)) (/ (* 4 y) (pow (- (* z z) t) -1)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* 4 y) (neg t) (pow (- (* z z) t) -1) (- (* z z) t))
3.0ms	y	@	0	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (* z z) y)) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* z z) (neg t)) (/ (* 4 y) (pow (- (* z z) t) -1)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* 4 y) (neg t) (pow (- (* z z) t) -1) (- (* z z) t))
2.0ms	z	@	inf	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (* z z) y)) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* z z) (neg t)) (/ (* 4 y) (pow (- (* z z) t) -1)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* 4 y) (neg t) (pow (- (* z z) t) -1) (- (* z z) t))

simplify233.0ms (2.7%)

Memory

2.1MiB live, 315.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 970×	`lower-fma.f64`
9 970×	`lower-fma.f32`
4 186×	`lower-*.f64`
4 186×	`lower-*.f32`
2 624×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	236	6902
1	733	6530
2	2251	6179
3	6739	6134
0	8131	5832

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

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

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

rewrite274.0ms (3.2%)

Memory

-20.7MiB live, 271.1MiB allocated

Rules

13 174×	`lower-fma.f32`
13 168×	`lower-fma.f64`
4 190×	`lower-*.f32`
4 170×	`lower-*.f64`
3 294×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	176
0	54	177
1	188	169
2	1452	169
0	8450	164

Stop Event

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

Counts

20 → 870

Calls

Call 1

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

Outputs
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eval232.0ms (2.7%)

Memory: 12.7MiB live, 409.3MiB allocated
Compiler: Compiled 34 016 to 2 634 computations (92.3% saved)

prune59.0ms (0.7%)

Memory

-13.1MiB live, 146.7MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	1 540	9	1 549
Fresh	3	0	3
Picked	2	3	5
Done	0	0	0
Total	1 545	12	1 557

Accuracy

100.0%

Counts

1 557 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.2%	(fma.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)))
▶	94.0%	(fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y))
▶	69.4%	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
▶	32.3%	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64)))
	59.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t)))))
	61.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (.f64 z y) z (*.f64 (neg.f64 t) y)) #s(literal -4 binary64)))
✓	59.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
	37.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
▶	57.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(approx (+ (* z z) (neg t)) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) #s(literal -4 binary64)))
✓	45.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	34.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))
	73.5%	#s(approx (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (.f64 (fma.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) x x) x))

Compiler

Compiled 272 to 245 computations (9.9% saved)

simplify117.0ms (1.4%)

Memory

18.0MiB live, 202.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	192	(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))
cost-diff	192	(-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64)))
cost-diff	512	(fma.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)))
cost-diff	1344	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y)))
cost-diff	0	(.f64 #s(approx (+ ( z z) (neg t)) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* z z) (neg t)) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) #s(literal -4 binary64))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(approx (+ (* z z) (neg t)) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) #s(literal -4 binary64)))
cost-diff	896	(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 t y)
cost-diff	0	(fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))
cost-diff	0	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
cost-diff	0	(*.f64 t y)
cost-diff	0	(.f64 (.f64 t y) #s(literal 4 binary64))
cost-diff	0	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64)))
cost-diff	0	(fma.f64 z z (neg.f64 t))
cost-diff	0	(*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64))
cost-diff	0	(.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y)
cost-diff	0	(fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y))

Rules

5 806×	`lower-fma.f32`
5 794×	`lower-fma.f64`
3 134×	`lower-*.f32`
3 108×	`lower-*.f64`
1 906×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	49	319
0	77	292
1	148	286
2	371	270
3	1214	270
4	3309	258
5	6073	258
0	8394	258

Stop Event

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

Calls

Call 1

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

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

localize117.0ms (1.3%)

Memory

37.3MiB live, 259.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.04429628907376807	(.f64 (.f64 y y) #s(literal 16 binary64))
accuracy	1.3984292433208234	(fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))
accuracy	1.6445223050961777	(fma.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)))
accuracy	33.89301797542189	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y)))
accuracy	0.08203125	(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
accuracy	3.2737199628182574	(.f64 #s(approx (+ ( z z) (neg t)) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y)
accuracy	3.7657429504726143	(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
accuracy	23.760225384526763	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(approx (+ (* z z) (neg t)) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) #s(literal -4 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 t y)
accuracy	1.3984292433208234	(fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))
accuracy	18.589685024852177	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
accuracy	0	(*.f64 t y)
accuracy	0.014003759768442016	(.f64 (.f64 t y) #s(literal 4 binary64))
accuracy	43.32294062326491	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64)))
accuracy	0	(*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64))
accuracy	0	(neg.f64 t)
accuracy	0.7499917428166807	(fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y))
accuracy	3.2934437271402897	(.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y)

Samples

84.0ms

256×

valid

Compiler

Compiled 274 to 46 computations (83.2% saved)

Precisions

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

ival-mult: 36.0ms (61.7% of total)

ival-add: 7.0ms (12% of total)

ival-div: 5.0ms (8.6% of total)

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

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

exact: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

series168.0ms (1.9%)

Memory

-52.1MiB live, 173.5MiB allocated

Counts

22 → 636

Calls

Call 1

Inputs
#s(alt (fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y)) (patch (fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y) (patch (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y) #<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 #s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64))) (patch #s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 t y) #s(literal 4 binary64)) (patch (.f64 (.f64 t y) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) (patch #s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t) (patch (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(approx (+ (* z z) (neg t)) (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) #s(literal -4 binary64))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(approx (+ (* z z) (neg t)) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (+ (* z z) (neg t)) (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) #s(literal -4 binary64)) (patch (.f64 (.f64 #s(approx (+ ( z z) (neg t)) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( z z) (neg t)) (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) (patch (.f64 #s(approx (+ (* z z) (neg t)) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) (patch (fma.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (patch (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y)) (patch (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y)) #<representation binary64>) () ())
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) (patch (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) #s(literal 16 binary64)) (patch (.f64 (.f64 y y) #s(literal 16 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (+ (* -4 (* y (pow z 2))) (pow x 2)) (taylor 0 t) (#s(alt (fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y)) (patch (fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) (taylor 0 t) (#s(alt (fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y)) (patch (fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) (taylor 0 t) (#s(alt (fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y)) (patch (fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) (taylor 0 t) (#s(alt (fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y)) (patch (fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y (pow z 2))) (taylor 0 t) (#s(alt (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y) (patch (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* y (pow z 2))) (* 4 (* t y))) (taylor 0 t) (#s(alt (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y) (patch (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* y (pow z 2))) (* 4 (* t y))) (taylor 0 t) (#s(alt (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y) (patch (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* y (pow z 2))) (* 4 (* t y))) (taylor 0 t) (#s(alt (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y) (patch (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y) #<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 (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 (- (pow x 2) (* 4 (* y (pow z 2)))) (taylor 0 t) (#s(alt #s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64))) (patch #s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) (taylor 0 t) (#s(alt #s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64))) (patch #s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) (taylor 0 t) (#s(alt #s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64))) (patch #s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) (taylor 0 t) (#s(alt #s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64))) (patch #s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* t y)) (taylor 0 t) (#s(alt (.f64 (.f64 t y) #s(literal 4 binary64)) (patch (.f64 (.f64 t y) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* t y)) (taylor 0 t) (#s(alt (.f64 (.f64 t y) #s(literal 4 binary64)) (patch (.f64 (.f64 t y) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* t y)) (taylor 0 t) (#s(alt (.f64 (.f64 t y) #s(literal 4 binary64)) (patch (.f64 (.f64 t y) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* t y)) (taylor 0 t) (#s(alt (.f64 (.f64 t y) #s(literal 4 binary64)) (patch (.f64 (.f64 t y) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) (* 4 (* y (pow z 2)))) (taylor 0 t) (#s(alt #s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) (patch #s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) (taylor 0 t) (#s(alt #s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) (patch #s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) (taylor 0 t) (#s(alt #s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) (patch #s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) (taylor 0 t) (#s(alt #s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) (patch #s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 t) (#s(alt (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* t y)) (pow x 2)) (taylor 0 t) (#s(alt (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* t y)) (pow x 2)) (taylor 0 t) (#s(alt (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* t y)) (pow x 2)) (taylor 0 t) (#s(alt (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 t) (#s(alt (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t) (patch (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) (patch (fma.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) (patch (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	t	@	inf	((+ (* x x) (* (* (+ (* z z) (neg t)) -4) y)) (* (* (+ (* z z) (neg t)) -4) y) (* (+ (* z z) (neg t)) -4) (+ (* z z) (neg t)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* (* t y) 4) (* t y) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (+ (* (* t y) 4) (* x x)) (* x x) (* (+ (* (/ z t) z) -1) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (/ (- 0 (* (* y y) 16)) (+ 0 (* 4 y))) (+ (* (* (/ (- 0 (* (* y y) 16)) (+ 0 (* 4 y))) z) z) (+ (* (* (neg t) y) -4) (* x x))) (- 0 (* (* y y) 16)) (+ 0 (* 4 y)) (neg t) (+ (* (/ z t) z) -1) (+ (* (* (neg t) y) -4) (* x x)) (* (* y y) 16))
3.0ms	y	@	-inf	((+ (* x x) (* (* (+ (* z z) (neg t)) -4) y)) (* (* (+ (* z z) (neg t)) -4) y) (* (+ (* z z) (neg t)) -4) (+ (* z z) (neg t)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* (* t y) 4) (* t y) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (+ (* (* t y) 4) (* x x)) (* x x) (* (+ (* (/ z t) z) -1) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (/ (- 0 (* (* y y) 16)) (+ 0 (* 4 y))) (+ (* (* (/ (- 0 (* (* y y) 16)) (+ 0 (* 4 y))) z) z) (+ (* (* (neg t) y) -4) (* x x))) (- 0 (* (* y y) 16)) (+ 0 (* 4 y)) (neg t) (+ (* (/ z t) z) -1) (+ (* (* (neg t) y) -4) (* x x)) (* (* y y) 16))
3.0ms	y	@	inf	((+ (* x x) (* (* (+ (* z z) (neg t)) -4) y)) (* (* (+ (* z z) (neg t)) -4) y) (* (+ (* z z) (neg t)) -4) (+ (* z z) (neg t)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* (* t y) 4) (* t y) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (+ (* (* t y) 4) (* x x)) (* x x) (* (+ (* (/ z t) z) -1) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (/ (- 0 (* (* y y) 16)) (+ 0 (* 4 y))) (+ (* (* (/ (- 0 (* (* y y) 16)) (+ 0 (* 4 y))) z) z) (+ (* (* (neg t) y) -4) (* x x))) (- 0 (* (* y y) 16)) (+ 0 (* 4 y)) (neg t) (+ (* (/ z t) z) -1) (+ (* (* (neg t) y) -4) (* x x)) (* (* y y) 16))
2.0ms	z	@	-inf	((+ (* x x) (* (* (+ (* z z) (neg t)) -4) y)) (* (* (+ (* z z) (neg t)) -4) y) (* (+ (* z z) (neg t)) -4) (+ (* z z) (neg t)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* (* t y) 4) (* t y) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (+ (* (* t y) 4) (* x x)) (* x x) (* (+ (* (/ z t) z) -1) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (/ (- 0 (* (* y y) 16)) (+ 0 (* 4 y))) (+ (* (* (/ (- 0 (* (* y y) 16)) (+ 0 (* 4 y))) z) z) (+ (* (* (neg t) y) -4) (* x x))) (- 0 (* (* y y) 16)) (+ 0 (* 4 y)) (neg t) (+ (* (/ z t) z) -1) (+ (* (* (neg t) y) -4) (* x x)) (* (* y y) 16))
2.0ms	t	@	-inf	((+ (* x x) (* (* (+ (* z z) (neg t)) -4) y)) (* (* (+ (* z z) (neg t)) -4) y) (* (+ (* z z) (neg t)) -4) (+ (* z z) (neg t)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* (* t y) 4) (* t y) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (+ (* (* t y) 4) (* x x)) (* x x) (* (+ (* (/ z t) z) -1) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (/ (- 0 (* (* y y) 16)) (+ 0 (* 4 y))) (+ (* (* (/ (- 0 (* (* y y) 16)) (+ 0 (* 4 y))) z) z) (+ (* (* (neg t) y) -4) (* x x))) (- 0 (* (* y y) 16)) (+ 0 (* 4 y)) (neg t) (+ (* (/ z t) z) -1) (+ (* (* (neg t) y) -4) (* x x)) (* (* y y) 16))

simplify242.0ms (2.8%)

Memory

10.5MiB live, 169.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 550×	`lower-fma.f64`
12 550×	`lower-fma.f32`
4 532×	`lower-*.f64`
4 532×	`lower-*.f32`
1 824×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	6507
1	537	5967
2	1660	5463
3	4765	5373
0	8536	5075

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

Calls

Call 1

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

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

rewrite228.0ms (2.6%)

Memory

4.6MiB live, 197.7MiB allocated

Rules

3 784×	`lower-*.f32`
3 758×	`lower-*.f64`
3 498×	`lower-/.f32`
3 494×	`lower-/.f64`
3 228×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	244
0	77	224
1	305	209
2	2729	209
0	8260	209

Stop Event

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

Counts

22 → 924

Calls

Call 1

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

Outputs
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eval330.0ms (3.8%)

Memory: 6.5MiB live, 303.5MiB allocated
Compiler: Compiled 40 989 to 3 179 computations (92.2% saved)

prune161.0ms (1.9%)

Memory

-37.0MiB live, 127.8MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1 626	1	1 627
Fresh	0	4	4
Picked	1	4	5
Done	0	3	3
Total	1 627	12	1 639

Accuracy

100.0%

Counts

1 639 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.3%	(fma.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x)))
✓	94.0%	(fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y))
✓	69.4%	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
✓	32.3%	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64)))
▶	59.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t)))))
▶	61.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (.f64 z y) z (*.f64 (neg.f64 t) y)) #s(literal -4 binary64)))
✓	59.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
▶	37.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
✓	57.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(approx (+ (* z z) (neg t)) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) #s(literal -4 binary64)))
✓	45.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	34.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))
▶	73.5%	#s(approx (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (.f64 (fma.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) x x) x))

Compiler

Compiled 221 to 199 computations (10% saved)

simplify207.0ms (2.4%)

Memory

4.9MiB live, 199.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x)))
cost-diff	192	(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))
cost-diff	192	(-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64)))
cost-diff	1344	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y)))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t)))
cost-diff	0	(*.f64 #s(literal 4 binary64) y)
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t)))))
cost-diff	1088	(/.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t))))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (fma.f64 (.f64 z y) z (*.f64 (neg.f64 t) y)) #s(literal -4 binary64))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (.f64 z y) z (*.f64 (neg.f64 t) y)) #s(literal -4 binary64)))
cost-diff	320	(fma.f64 (.f64 z y) z (.f64 (neg.f64 t) y))
cost-diff	0	(*.f64 z #s(literal -4 binary64))
cost-diff	0	(.f64 (.f64 z #s(literal -4 binary64)) y)
cost-diff	0	(.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z)
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
cost-diff	0	(fma.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) x x)
cost-diff	0	(.f64 (fma.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) x x) x)
cost-diff	0	#s(approx (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (.f64 (fma.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) x x) x))
cost-diff	832	(fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x)))

Rules

7 052×	`lower-fma.f32`
7 042×	`lower-fma.f64`
4 398×	`lower-*.f32`
4 368×	`lower-*.f64`
2 512×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	422
0	91	403
1	186	385
2	478	371
3	1591	359
4	4666	355
0	8172	345

Stop Event

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

Calls

Call 1

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

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

localize259.0ms (3%)

Memory

23.7MiB live, 188.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.04429628907376807	(.f64 (.f64 y y) #s(literal 16 binary64))
accuracy	1.6445223050961777	(fma.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x)))
accuracy	27.709979405641523	#s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x))
accuracy	33.89301797542189	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y)))
accuracy	0	(neg.f64 t)
accuracy	0.5185970873134086	(/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t)))
accuracy	3.02835219693335	(/.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t))))
accuracy	23.760225384526763	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t)))))
accuracy	0	(neg.f64 t)
accuracy	0.0078125	(.f64 (fma.f64 (.f64 z y) z (*.f64 (neg.f64 t) y)) #s(literal -4 binary64))
accuracy	0.7851521216604116	(fma.f64 (.f64 z y) z (.f64 (neg.f64 t) y))
accuracy	23.760225384526763	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (.f64 z y) z (*.f64 (neg.f64 t) y)) #s(literal -4 binary64)))
accuracy	0	(.f64 (.f64 z #s(literal -4 binary64)) y)
accuracy	0	(*.f64 z #s(literal -4 binary64))
accuracy	0.13671875	(.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z)
accuracy	39.90951826304222	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
accuracy	5.242383560597604	(/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x)
accuracy	5.848018255457892	(.f64 (fma.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) x x) x)
accuracy	6.181214876148123	(fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x)))
accuracy	7.220820095568623	(/.f64 y (*.f64 x x))

Samples

172.0ms

256×

valid

Compiler

Compiled 369 to 55 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 148.0ms

ival-mult: 125.0ms (84.6% of total)

ival-div: 9.0ms (6.1% of total)

ival-add: 8.0ms (5.4% of total)

ival-sub: 3.0ms (2% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series213.0ms (2.5%)

Memory

-13.4MiB live, 184.9MiB allocated

Counts

25 → 768

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) (patch (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (.f64 (fma.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) x x) x)) (patch #s(approx (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (.f64 (fma.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) x x) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) x x) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) x x) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) x x) (patch (fma.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) x x) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z)) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z) (patch (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z #s(literal -4 binary64)) y) (patch (.f64 (.f64 z #s(literal -4 binary64)) y) #<representation binary64>) () ())
#s(alt (.f64 z #s(literal -4 binary64)) (patch (.f64 z #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 z y) z (.f64 (neg.f64 t) y)) (patch (fma.f64 (.f64 z y) z (.f64 (neg.f64 t) y)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (.f64 z y) z (.f64 (neg.f64 t) y)) #s(literal -4 binary64))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (.f64 z y) z (*.f64 (neg.f64 t) y)) #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 z y) z (.f64 (neg.f64 t) y)) #s(literal -4 binary64)) (patch (.f64 (fma.f64 (.f64 z y) z (.f64 (neg.f64 t) y)) #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t)))) (patch (/.f64 (.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t))))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t))))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 4 binary64) y) (patch (.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (patch (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y)) (patch (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x))) (patch (fma.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 16 binary64))) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))) z) z #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 y (.f64 x x)) (patch (/.f64 y (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x) (patch (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x) #<representation binary64>) () ())
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) (patch #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) #s(literal 16 binary64)) (patch (.f64 (.f64 y y) #s(literal 16 binary64)) #<representation binary64>) () ())

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

Calls

12 calls:

Time	Variable		Point	Expression
39.0ms	y	@	-inf	((+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) x) (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z -4) y) z) (* (* z -4) y) (* z -4) (+ (* (* z y) z) (* (neg t) y)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* z y) z) (* (neg t) y)) -4) (* z y) (/ (* 4 y) (/ -1 (+ (* z z) (neg t)))) (- (* x x) (* (* y 4) (- (* z z) t))) (* 4 y) (/ -1 (+ (* z z) (neg t))) (/ (- 0 (* (* y y) 16)) (+ 0 (* 4 y))) (- 0 (* (* y y) 16)) (+ 0 (* 4 y)) (+ (* (* (/ (- 0 (* (* y y) 16)) (+ 0 (* 4 y))) z) z) (+ (* (* (neg t) y) -4) (* x x))) (/ y (* x x)) (/ (* (* z y) -4) x) (neg t) (+ (* (* (neg t) y) -4) (* x x)) (* (* y y) 16))
38.0ms	y	@	0	((+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) x) (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z -4) y) z) (* (* z -4) y) (* z -4) (+ (* (* z y) z) (* (neg t) y)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* z y) z) (* (neg t) y)) -4) (* z y) (/ (* 4 y) (/ -1 (+ (* z z) (neg t)))) (- (* x x) (* (* y 4) (- (* z z) t))) (* 4 y) (/ -1 (+ (* z z) (neg t))) (/ (- 0 (* (* y y) 16)) (+ 0 (* 4 y))) (- 0 (* (* y y) 16)) (+ 0 (* 4 y)) (+ (* (* (/ (- 0 (* (* y y) 16)) (+ 0 (* 4 y))) z) z) (+ (* (* (neg t) y) -4) (* x x))) (/ y (* x x)) (/ (* (* z y) -4) x) (neg t) (+ (* (* (neg t) y) -4) (* x x)) (* (* y y) 16))
7.0ms	t	@	inf	((+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) x) (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z -4) y) z) (* (* z -4) y) (* z -4) (+ (* (* z y) z) (* (neg t) y)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* z y) z) (* (neg t) y)) -4) (* z y) (/ (* 4 y) (/ -1 (+ (* z z) (neg t)))) (- (* x x) (* (* y 4) (- (* z z) t))) (* 4 y) (/ -1 (+ (* z z) (neg t))) (/ (- 0 (* (* y y) 16)) (+ 0 (* 4 y))) (- 0 (* (* y y) 16)) (+ 0 (* 4 y)) (+ (* (* (/ (- 0 (* (* y y) 16)) (+ 0 (* 4 y))) z) z) (+ (* (* (neg t) y) -4) (* x x))) (/ y (* x x)) (/ (* (* z y) -4) x) (neg t) (+ (* (* (neg t) y) -4) (* x x)) (* (* y y) 16))
5.0ms	y	@	inf	((+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) x) (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z -4) y) z) (* (* z -4) y) (* z -4) (+ (* (* z y) z) (* (neg t) y)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* z y) z) (* (neg t) y)) -4) (* z y) (/ (* 4 y) (/ -1 (+ (* z z) (neg t)))) (- (* x x) (* (* y 4) (- (* z z) t))) (* 4 y) (/ -1 (+ (* z z) (neg t))) (/ (- 0 (* (* y y) 16)) (+ 0 (* 4 y))) (- 0 (* (* y y) 16)) (+ 0 (* 4 y)) (+ (* (* (/ (- 0 (* (* y y) 16)) (+ 0 (* 4 y))) z) z) (+ (* (* (neg t) y) -4) (* x x))) (/ y (* x x)) (/ (* (* z y) -4) x) (neg t) (+ (* (* (neg t) y) -4) (* x x)) (* (* y y) 16))
4.0ms	z	@	inf	((+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) x) (+ (* (+ (* (* (/ y (* x x)) 4) t) (* (/ (* (* z y) -4) x) (/ z x))) x) x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z -4) y) z) (* (* z -4) y) (* z -4) (+ (* (* z y) z) (* (neg t) y)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (* z y) z) (* (neg t) y)) -4) (* z y) (/ (* 4 y) (/ -1 (+ (* z z) (neg t)))) (- (* x x) (* (* y 4) (- (* z z) t))) (* 4 y) (/ -1 (+ (* z z) (neg t))) (/ (- 0 (* (* y y) 16)) (+ 0 (* 4 y))) (- 0 (* (* y y) 16)) (+ 0 (* 4 y)) (+ (* (* (/ (- 0 (* (* y y) 16)) (+ 0 (* 4 y))) z) z) (+ (* (* (neg t) y) -4) (* x x))) (/ y (* x x)) (/ (* (* z y) -4) x) (neg t) (+ (* (* (neg t) y) -4) (* x x)) (* (* y y) 16))

simplify220.0ms (2.5%)

Memory

26.7MiB live, 221.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 828×	`lower-fma.f64`
10 828×	`lower-fma.f32`
5 312×	`lower-*.f64`
5 312×	`lower-*.f32`
3 356×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	345	9833
1	1130	9134
2	3820	8524
0	8228	8096

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 765

Calls

Call 1

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

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

rewrite428.0ms (4.9%)

Memory

-25.1MiB live, 217.1MiB allocated

Rules

5 238×	`lower-*.f32`
5 208×	`lower-*.f64`
4 484×	`lower-fma.f32`
4 474×	`lower-fma.f64`
3 784×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	331
0	91	322
1	362	294
2	3170	294
0	9071	288

Stop Event

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

Counts

25 → 1 048

Calls

Call 1

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

Outputs
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eval409.0ms (4.7%)

Memory: 20.4MiB live, 607.4MiB allocated
Compiler: Compiled 45 056 to 5 280 computations (88.3% saved)

prune64.0ms (0.7%)

Memory

-18.2MiB live, 141.3MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	1 917	3	1 920
Fresh	0	0	0
Picked	3	2	5
Done	1	6	7
Total	1 921	11	1 932

Accuracy

100.0%

Counts

1 932 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.0%	(fma.f64 x x (.f64 (.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y))
✓	69.4%	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
✓	32.3%	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64)))
	32.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (.f64 (.f64 (.f64 #s(literal -16 binary64) (.f64 y y)) z) z) (*.f64 #s(literal 4 binary64) y)))
	33.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (.f64 #s(literal 4 binary64) y) #s(approx (/ -1 (+ ( z z) (neg t))) (/.f64 #s(literal -1 binary64) (*.f64 z z)))))
✓	61.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (.f64 z y) z (*.f64 (neg.f64 t) y)) #s(literal -4 binary64)))
✓	59.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
✓	37.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
✓	45.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	34.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))
	69.0%	#s(approx (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (.f64 z y) (.f64 x x)) (.f64 t (.f64 #s(literal 4 binary64) (/.f64 y (*.f64 x x))))) x x) x))

Compiler

Compiled 410 to 216 computations (47.3% saved)

regimes69.0ms (0.8%)

Memory

33.1MiB live, 109.3MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

9.0ms	z
9.0ms	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
7.0ms	y
7.0ms	x
7.0ms	(*.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
98.0%	2	`x`
97.6%	2	`y`
97.6%	2	`z`
97.2%	2	`t`
97.2%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
98.0%	2	`(*.f64 x x)`
95.6%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
97.6%	2	`(*.f64 y #s(literal 4 binary64))`
97.6%	2	`(-.f64 (*.f64 z z) t)`
97.6%	2	`(*.f64 z z)`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes36.0ms (0.4%)

Memory

-28.6MiB live, 52.1MiB allocated

Counts

20 → 2

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	z
8.0ms	(*.f64 x x)
6.0ms	x
6.0ms	(-.f64 (*.f64 z z) t)
5.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
97.6%	2	`z`
97.6%	2	`(-.f64 (*.f64 z z) t)`
97.6%	2	`(*.f64 z z)`
97.2%	2	`x`
97.2%	2	`(*.f64 x x)`

Compiler

Compiled 13 to 24 computations (-84.6% saved)

regimes37.0ms (0.4%)

Memory

5.2MiB live, 83.4MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
88.7%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
80.6%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
87.3%	4	`x`
87.3%	4	`(*.f64 x x)`
75.5%	4	`t`
78.2%	3	`y`
78.2%	3	`(*.f64 y #s(literal 4 binary64))`
85.7%	2	`z`
85.7%	2	`(-.f64 (*.f64 z z) t)`
85.7%	2	`(*.f64 z z)`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes13.0ms (0.1%)

Memory

32.5MiB live, 32.5MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
85.7%	2	`z`
85.7%	2	`(*.f64 z z)`
86.6%	3	`(-.f64 (*.f64 z z) t)`
86.3%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

regimes26.0ms (0.3%)

Memory

-25.2MiB live, 56.7MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

4.0ms	(*.f64 y #s(literal 4 binary64))
3.0ms	(*.f64 z z)
2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(-.f64 (*.f64 z z) t)

Results

Accuracy	Segments	Branch
62.0%	5	`t`
53.9%	3	`y`
53.9%	3	`(*.f64 y #s(literal 4 binary64))`
65.2%	3	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
69.1%	6	`x`
66.9%	5	`(*.f64 x x)`
67.2%	4	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
70.5%	3	`(-.f64 (*.f64 z z) t)`
67.0%	3	`z`
64.0%	2	`(*.f64 z z)`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes5.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
63.4%	3	`z`
66.9%	3	`(-.f64 (*.f64 z z) t)`

Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes14.0ms (0.2%)

Memory

-8.8MiB live, 30.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

3.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
2.0ms	(-.f64 (*.f64 z z) t)
2.0ms	z
2.0ms	x
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))

Results

Accuracy	Segments	Branch
48.4%	2	`z`
60.4%	2	`(*.f64 x x)`
60.4%	2	`x`
59.0%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
45.3%	1	`(*.f64 z z)`
54.5%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
51.8%	2	`(-.f64 (*.f64 z z) t)`

Compiler

Compiled 35 to 44 computations (-25.7% saved)

regimes13.0ms (0.1%)

Memory

-5.2MiB live, 34.1MiB 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

9 calls:

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

Results

Accuracy	Segments	Branch
45.3%	1	`z`
45.3%	1	`(-.f64 (*.f64 z z) t)`
45.3%	1	`y`
45.3%	1	`(*.f64 y #s(literal 4 binary64))`
45.3%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
45.3%	1	`t`
45.3%	1	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
45.3%	1	`x`
45.3%	1	`(*.f64 x x)`

Compiler

Compiled 37 to 53 computations (-43.2% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.0649310808243485e+51	2.590491352104848e+60

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0110743373632075e+308	+inf

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.5765707887258626e+273	6.805858413477852e+280
0.0ms	-2.1093864024874945e+243	-4.7005558697106397e+222

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.4208753166252515e+133	3.268337514674751e+141

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2542954788908397e+149	3.4246430943732554e+151
0.0ms	-7.455291288849036e-17	-1.430583321629641e-17

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2542954788908397e+149	3.4246430943732554e+151
0.0ms	-7.455291288849036e-17	-1.430583321629641e-17

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch11.0ms (0.1%)

Memory

-16.0MiB live, 23.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	4.429815119479135e-6	1.9371193775808294e-5

Samples

6.0ms

96×

valid

Compiler

Compiled 76 to 114 computations (-50% saved)

Precisions

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

ival-mult: 2.0ms (64.4% of total)

ival-sub: 1.0ms (32.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify38.0ms (0.4%)

Memory

6.7MiB live, 60.7MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
6×	`neg-sub0-binary64--.f64-neg.f64`
6×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	453
1	113	453
2	121	453
3	126	453
4	129	453
5	130	453

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 x x) #s(literal 4999999999999999966104743371808139882308542209720320 binary64)) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) #s(approx (+ ( (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (.f64 (fma.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) x x) x)))
(if (<=.f64 (.f64 z z) #s(literal +inf.0 binary64)) (fma.f64 x x (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z)))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)) #s(literal -2000000000000000149301151299663391549265590600239231186326068800240230914271598472584298906614998656148958062640259884382935185669148681652671929027013180132301577277498237670836074039054445773889962481038969293132293445117978169216670778785792 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (.f64 z y) z (.f64 (neg.f64 t) y)) #s(literal -4 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)) #s(literal 4999999999999999606891439222088170743356359581629103514674898302336536884368180344372105812195669071086632859212554450592370239000406022955616895750847586724854960694891108814617789564851396347504833175725001428207654045160442233287179879902741358285114579838690012111568896 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (.f64 z y) z (*.f64 (neg.f64 t) y)) #s(literal -4 binary64)))))
(if (<=.f64 (.f64 z z) #s(literal 49999999999999996074101824835349657503774913686486230752187555524924150803830162236428630807572544714024682228918922745266209965473792 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z)))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 200000000000000009795345315030104115914445400706148777749008474918033652718676951232246305849455292758622612936302055352410686583732517043420455239680 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 200000000000000009795345315030104115914445400706148777749008474918033652718676951232246305849455292758622612936302055352410686583732517043420455239680 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))))
(if (<=.f64 x #s(literal 3423715700080493/295147905179352825856 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) #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 x x) #s(literal 4999999999999999966104743371808139882308542209720320 binary64)) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) #s(approx (+ ( (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (.f64 (fma.f64 (fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 4 binary64)) t (.f64 (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x))) x x) x)))
(if (<=.f64 (.f64 x x) #s(literal 4999999999999999966104743371808139882308542209720320 binary64)) (fma.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) #s(approx (+ ( (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4 binary64) (/.f64 y (.f64 x x))) t (.f64 (/.f64 z x) (/.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x))) x x) x)))
(if (<=.f64 (.f64 z z) #s(literal +inf.0 binary64)) (fma.f64 x x (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z)))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)) #s(literal -2000000000000000149301151299663391549265590600239231186326068800240230914271598472584298906614998656148958062640259884382935185669148681652671929027013180132301577277498237670836074039054445773889962481038969293132293445117978169216670778785792 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (.f64 z y) z (.f64 (neg.f64 t) y)) #s(literal -4 binary64))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)) #s(literal 4999999999999999606891439222088170743356359581629103514674898302336536884368180344372105812195669071086632859212554450592370239000406022955616895750847586724854960694891108814617789564851396347504833175725001428207654045160442233287179879902741358285114579838690012111568896 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (.f64 z y) z (*.f64 (neg.f64 t) y)) #s(literal -4 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 4 binary64) y) (-.f64 (.f64 z z) t)) #s(literal -2000000000000000149301151299663391549265590600239231186326068800240230914271598472584298906614998656148958062640259884382935185669148681652671929027013180132301577277498237670836074039054445773889962481038969293132293445117978169216670778785792 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (.f64 z y) z (.f64 (neg.f64 t) y)) #s(literal -4 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 4 binary64) y) (-.f64 (.f64 z z) t)) #s(literal 4999999999999999606891439222088170743356359581629103514674898302336536884368180344372105812195669071086632859212554450592370239000406022955616895750847586724854960694891108814617789564851396347504833175725001428207654045160442233287179879902741358285114579838690012111568896 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (.f64 z y) z (*.f64 (neg.f64 t) y)) #s(literal -4 binary64)))))
(if (<=.f64 (.f64 z z) #s(literal 49999999999999996074101824835349657503774913686486230752187555524924150803830162236428630807572544714024682228918922745266209965473792 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z)))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 200000000000000009795345315030104115914445400706148777749008474918033652718676951232246305849455292758622612936302055352410686583732517043420455239680 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t)) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 200000000000000009795345315030104115914445400706148777749008474918033652718676951232246305849455292758622612936302055352410686583732517043420455239680 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 200000000000000009795345315030104115914445400706148777749008474918033652718676951232246305849455292758622612936302055352410686583732517043420455239680 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t)) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 200000000000000009795345315030104115914445400706148777749008474918033652718676951232246305849455292758622612936302055352410686583732517043420455239680 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))))
(if (<=.f64 x #s(literal 3423715700080493/295147905179352825856 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
(if (<=.f64 x #s(literal 3423715700080493/295147905179352825856 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

soundness1.1s (12.8%)

Memory

20.8MiB live, 770.2MiB allocated

Rules

14 692×	`lower-fma.f64`
14 692×	`lower-fma.f32`
13 174×	`lower-fma.f32`
13 168×	`lower-fma.f64`
9 970×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	236	6902
1	733	6530
2	2251	6179
3	6739	6134
0	8131	5832
0	81	1355
1	248	1343
2	810	1151
3	3626	1115
4	7081	1115
0	8368	1071
0	11	33
0	17	33
1	56	33
2	422	33
3	5357	33
0	8525	32
0	34	176
0	54	177
1	188	169
2	1452	169
0	8450	164

Stop Event

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

Compiler

Compiled 405 to 249 computations (38.5% saved)

preprocess114.0ms (1.3%)

Memory

-9.8MiB live, 224.5MiB allocated

Remove

(abs x)

(abs z)

Compiler

Compiled 724 to 298 computations (58.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (15%)

explain202.0ms (2.3%)

preprocess242.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify56.0ms (0.6%)

localize49.0ms (0.6%)

series31.0ms (0.4%)

simplify201.0ms (2.3%)

rewrite392.0ms (4.5%)

eval107.0ms (1.2%)

prune14.0ms (0.2%)

simplify76.0ms (0.9%)

localize180.0ms (2.1%)

series359.0ms (4.1%)

simplify233.0ms (2.7%)

rewrite274.0ms (3.2%)

eval232.0ms (2.7%)

prune59.0ms (0.7%)

simplify117.0ms (1.4%)

localize117.0ms (1.3%)

series168.0ms (1.9%)

simplify242.0ms (2.8%)

rewrite228.0ms (2.6%)

eval330.0ms (3.8%)

prune161.0ms (1.9%)

simplify207.0ms (2.4%)

localize259.0ms (3%)

series213.0ms (2.5%)

simplify220.0ms (2.5%)

rewrite428.0ms (4.9%)

eval409.0ms (4.7%)

prune64.0ms (0.7%)

regimes69.0ms (0.8%)

regimes36.0ms (0.4%)

regimes37.0ms (0.4%)

regimes13.0ms (0.1%)

regimes26.0ms (0.3%)

regimes5.0ms (0.1%)

regimes14.0ms (0.2%)

regimes13.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch11.0ms (0.1%)

simplify38.0ms (0.4%)

soundness1.1s (12.8%)

preprocess114.0ms (1.3%)

end0.0ms (0%)

Profiling