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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample1.2s (13.6%)

Memory

-4.9MiB live, 1 462.5MiB allocated

Samples

614.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 345.0ms

ival-mult: 227.0ms (65.9% of total)

ival-sub: 102.0ms (29.6% of total)

ival-true: 6.0ms (1.7% of total)

exact: 6.0ms (1.7% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain149.0ms (1.7%)

Memory

13.4MiB live, 208.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
14	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
12	-	-	`(-.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**	14	0
`-.f64`	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`	nan-rescue	12	0
↳	`(*.f64 x x)`	overflow	60
↳	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`	overflow	86
↳	`(-.f64 (*.f64 z z) t)`	overflow	58
↳	`(*.f64 z z)`	overflow	58

Confusion

	Predicted +	Predicted -
+	25	0
-	1	230

Precision

0.9615384615384616

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	25	0	0
-	1	0	230

Precision?

0.9615384615384616

Recall?

1.0

Freqs

test

number	freq
0	230
1	26

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms

512×

valid

Compiler

Compiled 99 to 37 computations (62.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 13.0ms (59.2% of total)

ival-sub: 8.0ms (36.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess227.0ms (2.6%)

Memory

13.8MiB live, 88.4MiB 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: 0.5MiB 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
▶	90.6%	(-.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)

simplify67.0ms (0.8%)

Memory

-7.8MiB live, 42.8MiB 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

localize269.0ms (3.1%)

Memory

-28.7MiB live, 45.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(-.f64 (*.f64 z z) t)
accuracy	2.6484271791510294	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
accuracy	3.2645342400918094	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))

Samples

20.0ms

256×

valid

Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 8.0ms (73.8% of total)

ival-sub: 2.0ms (18.4% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

25.7MiB live, 25.7MiB 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
1.0ms	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))

simplify356.0ms (4.1%)

Memory

-13.9MiB live, 263.9MiB 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)

rewrite188.0ms (2.2%)

Memory

24.8MiB live, 176.6MiB 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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eval68.0ms (0.8%)

Memory: -25.0MiB live, 106.4MiB allocated
Compiler: Compiled 10 015 to 889 computations (91.1% saved)

prune14.0ms (0.2%)

Memory

1.9MiB live, 40.3MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	384	10	394
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	385	10	395

Accuracy

100.0%

Counts

395 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.9%	(fma.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64) (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)))
▶	94.5%	(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)))
▶	92.5%	(fma.f64 x x (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
	55.3%	(-.f64 (.f64 x x) (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))))
	65.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
	65.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 (.f64 z z) y) (*.f64 x x)))
▶	64.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
	34.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t))
▶	39.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
▶	37.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))

Compiler

Compiled 224 to 200 computations (10.7% saved)

simplify59.0ms (0.7%)

Memory

26.2MiB live, 63.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

1 632×	`lower-fma.f32`
1 624×	`lower-fma.f64`
784×	`lower-*.f32`
766×	`lower-*.f64`
308×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	198
0	51	202
1	94	191
2	196	191
3	500	191
4	913	191
5	1364	191
6	1607	191
7	1777	191
8	1809	191
9	1811	191
10	1811	191
0	1811	190

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

localize77.0ms (0.9%)

Memory

-22.7MiB live, 100.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (*.f64 z z) t)
accuracy	0.017910009768442016	(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
accuracy	1.7499807332389217	(fma.f64 x x (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
accuracy	3.2704714405777526	(.f64 (-.f64 (.f64 z z) t) y)
accuracy	0	(neg.f64 t)
accuracy	0.017910009768442016	(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
accuracy	3.2704714405777526	(*.f64 (fma.f64 z z (neg.f64 t)) y)
accuracy	19.94222845644894	#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	0.014003759768442016	(.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y))
accuracy	6.542502469691374	(.f64 (.f64 z z) y)
accuracy	37.52653804215744	#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	38.842216959609274	#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	1.050779185830206	(fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))
accuracy	2.195295986137504	(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

52.0ms

256×

valid

Compiler

Compiled 185 to 30 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 24.0ms (74.2% of total)

ival-add: 4.0ms (12.4% of total)

ival-sub: 2.0ms (6.2% of total)

ival-neg: 1.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series56.0ms (0.7%)

Memory

-0.8MiB live, 71.5MiB allocated

Counts

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

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	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)) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (neg t))
3.0ms	x	@	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)) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (neg t))
2.0ms	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)) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (neg t))
2.0ms	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)) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (neg t))
2.0ms	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)) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (neg t))

simplify200.0ms (2.3%)

Memory

23.8MiB live, 223.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 214×	`lower-fma.f64`
14 214×	`lower-fma.f32`
5 038×	`lower-*.f64`
5 038×	`lower-*.f32`
1 654×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	6296
1	495	5666
2	1567	5186
3	5019	5096
0	8408	4849

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

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

rewrite265.0ms (3.1%)

Memory

-25.3MiB live, 208.4MiB allocated

Rules

8 900×	`lower-fma.f32`
8 892×	`lower-fma.f64`
4 064×	`lower-*.f32`
4 046×	`lower-*.f64`
2 326×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	168
0	51	172
1	164	161
2	1222	147
0	9435	147

Stop Event

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

Counts

19 → 866

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

Outputs
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eval572.0ms (6.6%)

Memory: -123.2MiB live, 412.7MiB allocated
Compiler: Compiled 29 667 to 1 959 computations (93.4% saved)

prune55.0ms (0.6%)

Memory

-8.9MiB live, 163.0MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 521	6	1 527
Fresh	4	1	5
Picked	2	3	5
Done	0	0	0
Total	1 527	10	1 537

Accuracy

100.0%

Counts

1 537 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.0%	(fma.f64 x x (.f64 (.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64)))
▶	65.9%	(fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64))))
	64.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y)) #s(literal -4 binary64)))
✓	64.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
▶	41.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))
▶	34.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t))
▶	34.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
✓	39.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
	16.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 z z)) y)))
✓	37.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))

Compiler

Compiled 154 to 163 computations (-5.8% saved)

simplify114.0ms (1.3%)

Memory

10.5MiB live, 48.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

1 952×	`lower-fma.f32`
1 948×	`lower-fma.f64`
976×	`lower-*.f32`
956×	`lower-*.f64`
390×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	200
0	43	200
1	73	200
2	153	200
3	388	200
4	752	200
5	1277	200
6	1980	200
7	2437	200
8	2546	200
9	2568	200
10	2588	200
11	2595	200
12	2597	200
13	2597	200
0	2597	197

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize96.0ms (1.1%)

Memory

1.4MiB live, 111.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 t y)
accuracy	0.028007519536884032	(.f64 (.f64 t y) #s(literal 4 binary64))
accuracy	1.7499807332389217	(fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64))))
accuracy	27.425179620381794	#s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))
accuracy	0	(.f64 z (.f64 y #s(literal -4 binary64)))
accuracy	0	(*.f64 y #s(literal -4 binary64))
accuracy	0.11328125	(.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z)
accuracy	37.52653804215744	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))
accuracy	0	(.f64 (.f64 y #s(literal 4 binary64)) t)
accuracy	0	(*.f64 y #s(literal 4 binary64))
accuracy	42.1505057080749	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t))
accuracy	0	(*.f64 t y)
accuracy	0.028007519536884032	(.f64 (.f64 t y) #s(literal 4 binary64))
accuracy	42.1505057080749	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
accuracy	0.017910009768442016	(.f64 (.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64))
accuracy	1.7499807332389217	(fma.f64 x x (.f64 (.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64)))
accuracy	3.2704714405777526	(.f64 #s(approx (- ( z z) t) (*.f64 z z)) y)
accuracy	33.38676875518437	#s(approx (- (* z z) t) (*.f64 z z))

Samples

69.0ms

256×

valid

Compiler

Compiled 156 to 23 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 47.0ms (92.6% of total)

ival-sub: 2.0ms (3.9% of total)

ival-add: 1.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

series37.0ms (0.4%)

Memory

8.8MiB live, 80.2MiB allocated

Counts

16 → 516

Calls

Call 1

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

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	((+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) t) (* y 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* z (* y -4)) z) (* z (* y -4)) (* y -4) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4))
2.0ms	y	@	-inf	((+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) t) (* y 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* z (* y -4)) z) (* z (* y -4)) (* y -4) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4))
2.0ms	y	@	0	((+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) t) (* y 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* z (* y -4)) z) (* z (* y -4)) (* y -4) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4))
1.0ms	z	@	inf	((+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) t) (* y 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* z (* y -4)) z) (* z (* y -4)) (* y -4) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4))
1.0ms	z	@	-inf	((+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) t) (* y 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* z (* y -4)) z) (* z (* y -4)) (* y -4) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4))

simplify246.0ms (2.8%)

Memory

16.8MiB live, 278.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16 096×	`lower-fma.f64`
16 096×	`lower-fma.f32`
5 366×	`lower-*.f64`
5 366×	`lower-*.f32`
1 820×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	5716
1	368	5626
2	1138	4696
3	4603	4606
0	8521	4386

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

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

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

rewrite197.0ms (2.3%)

Memory

-22.7MiB live, 350.1MiB allocated

Rules

9 184×	`lower-fma.f32`
9 180×	`lower-fma.f64`
7 058×	`lower-*.f32`
7 038×	`lower-*.f64`
3 358×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	172
0	43	172
1	121	172
2	763	172
0	8476	169

Stop Event

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

Counts

16 → 216

Calls

Call 1

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

Outputs
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eval202.0ms (2.3%)

Memory: 13.2MiB live, 165.0MiB allocated
Compiler: Compiled 11 850 to 678 computations (94.3% saved)

prune253.0ms (2.9%)

Memory

15.2MiB live, 99.3MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	788	0	788
Fresh	0	2	2
Picked	0	5	5
Done	0	3	3
Total	788	10	798

Accuracy

100.0%

Counts

798 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.0%	(fma.f64 x x (.f64 (.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64)))
✓	65.9%	(fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64))))
▶	64.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y)) #s(literal -4 binary64)))
✓	64.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
✓	41.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))
✓	34.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t))
✓	34.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
✓	39.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
▶	16.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 z z)) y)))
✓	37.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))

Compiler

Compiled 88 to 94 computations (-6.8% saved)

simplify324.0ms (3.7%)

Memory

-0.4MiB live, 112.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 y)
cost-diff	0	(.f64 (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y)) #s(literal -4 binary64))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y)) #s(literal -4 binary64)))
cost-diff	320	(fma.f64 (neg.f64 y) t (.f64 (.f64 z z) y))
cost-diff	0	(.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (.f64 z z)) y)
cost-diff	0	(.f64 #s(literal -4 binary64) (.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 z z)) y))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 z z)) y)))
cost-diff	192	(-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64))

Rules

2 856×	`lower-fma.f32`
2 854×	`lower-fma.f64`
2 008×	`lower-*.f32`
1 998×	`lower-*.f64`
1 014×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	135
0	36	125
1	74	125
2	178	119
3	508	119
4	1082	119
5	2073	119
6	3628	119
7	4913	119
8	5442	119
9	5484	119
10	5506	119
11	5512	119
12	6053	119
13	6297	119
14	6297	119
15	6309	119
16	6309	119
17	6461	119
18	6810	119
19	6810	119
20	6810	119
21	6834	119
22	7070	119
23	7070	119
0	7070	117

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize117.0ms (1.3%)

Memory

-27.6MiB live, 152.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.017910009768442016	(.f64 (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y)) #s(literal -4 binary64))
accuracy	0.2539034976055602	(fma.f64 (neg.f64 y) t (.f64 (.f64 z z) y))
accuracy	6.542502469691374	(.f64 (.f64 z z) y)
accuracy	19.94222845644894	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y)) #s(literal -4 binary64)))
accuracy	0.014003759768442016	(.f64 #s(literal -4 binary64) (.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 z z)) y))
accuracy	6.542502469691374	(.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (.f64 z z)) y)
accuracy	37.52653804215744	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 z z)) y)))
accuracy	44.28776501321666	(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 z z))

Samples

102.0ms

256×

valid

Compiler

Compiled 113 to 25 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-sub: 45.0ms (50.4% of total)

ival-mult: 37.0ms (41.4% of total)

ival-pow: 3.0ms (3.4% of total)

ival-div: 2.0ms (2.2% of total)

ival-add: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.5%)

Memory

13.5MiB live, 59.2MiB allocated

Counts

10 → 276

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	y	@	inf	((- (pow z 4) 0) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (/ (- (pow z 4) 0) (* z z)) y)) (* (/ (- (pow z 4) 0) (* z z)) y) (+ (* (neg y) t) (* (* z z) y)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (neg y) t) (* (* z z) y)) -4) (neg y) (/ (- (pow z 4) 0) (* z z)) (* (* z z) y))
2.0ms	z	@	inf	((- (pow z 4) 0) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (/ (- (pow z 4) 0) (* z z)) y)) (* (/ (- (pow z 4) 0) (* z z)) y) (+ (* (neg y) t) (* (* z z) y)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (neg y) t) (* (* z z) y)) -4) (neg y) (/ (- (pow z 4) 0) (* z z)) (* (* z z) y))
2.0ms	y	@	-inf	((- (pow z 4) 0) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (/ (- (pow z 4) 0) (* z z)) y)) (* (/ (- (pow z 4) 0) (* z z)) y) (+ (* (neg y) t) (* (* z z) y)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (neg y) t) (* (* z z) y)) -4) (neg y) (/ (- (pow z 4) 0) (* z z)) (* (* z z) y))
1.0ms	z	@	-inf	((- (pow z 4) 0) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (/ (- (pow z 4) 0) (* z z)) y)) (* (/ (- (pow z 4) 0) (* z z)) y) (+ (* (neg y) t) (* (* z z) y)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (neg y) t) (* (* z z) y)) -4) (neg y) (/ (- (pow z 4) 0) (* z z)) (* (* z z) y))
1.0ms	y	@	0	((- (pow z 4) 0) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (/ (- (pow z 4) 0) (* z z)) y)) (* (/ (- (pow z 4) 0) (* z z)) y) (+ (* (neg y) t) (* (* z z) y)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (+ (* (neg y) t) (* (* z z) y)) -4) (neg y) (/ (- (pow z 4) 0) (* z z)) (* (* z z) y))

simplify238.0ms (2.7%)

Memory

-19.0MiB live, 171.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 414×	`lower-fma.f64`
14 414×	`lower-fma.f32`
5 196×	`lower-*.f64`
5 196×	`lower-*.f32`
1 910×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	2695
1	291	2383
2	902	2371
3	3527	2311
0	8182	2223

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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

rewrite397.0ms (4.6%)

Memory

32.1MiB live, 258.8MiB allocated

Rules

18 096×	`lower-fma.f32`
18 094×	`lower-fma.f64`
6 498×	`lower-*.f32`
6 490×	`lower-*.f64`
2 870×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	117
0	36	111
1	142	91
2	1066	85
0	9343	83

Stop Event

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

Counts

10 → 1 366

Calls

Call 1

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

Outputs
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eval919.0ms (10.6%)

Memory: 3.0MiB live, 421.3MiB allocated
Compiler: Compiled 28 739 to 5 164 computations (82% saved)

prune78.0ms (0.9%)

Memory

8.2MiB live, 96.8MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	1 641	1	1 642
Fresh	0	0	0
Picked	1	1	2
Done	0	8	8
Total	1 642	10	1 652

Accuracy

100.0%

Counts

1 652 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.0%	(fma.f64 x x (.f64 (.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64)))
✓	65.9%	(fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64))))
	37.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 #s(literal -4 binary64) y) (pow.f64 z #s(literal -2 binary64))))
✓	64.9%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y)) #s(literal -4 binary64)))
✓	64.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
✓	41.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))
✓	34.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t))
✓	34.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64)))
✓	39.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	37.0%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))

Compiler

Compiled 275 to 160 computations (41.8% saved)

regimes64.0ms (0.7%)

Memory

2.2MiB live, 79.8MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 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 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 (.f64 z z) y) (*.f64 x x)))
(fma.f64 x x (.f64 (.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) y)) #s(literal -4 binary64)))
(fma.f64 x x (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
(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 z z) y) #s(literal -4 binary64) (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) (pow.f64 z #s(literal -2 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 z z)) y)))
(-.f64 (.f64 x x) (.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))))

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

Calls

10 calls:

10.0ms	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
7.0ms	y
6.0ms	x
6.0ms	t
6.0ms	(-.f64 (*.f64 z z) t)

Results

Accuracy	Segments	Branch
96.0%	2	`x`
98.4%	3	`y`
96.8%	2	`z`
97.6%	2	`t`
94.5%	1	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
96.0%	2	`(*.f64 x x)`
94.5%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
98.4%	3	`(*.f64 y #s(literal 4 binary64))`
96.8%	2	`(-.f64 (*.f64 z z) t)`
96.8%	2	`(*.f64 z z)`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes20.0ms (0.2%)

Memory

8.9MiB live, 47.5MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(-.f64 (*.f64 z z) t)
5.0ms	t
4.0ms	z
4.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
96.8%	2	`z`
96.8%	2	`(-.f64 (*.f64 z z) t)`
96.8%	2	`(*.f64 z z)`
92.5%	1	`t`

Compiler

Compiled 10 to 19 computations (-90% saved)

regimes57.0ms (0.7%)

Memory

-25.0MiB live, 89.0MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

18.0ms	(-.f64 (*.f64 z z) t)
7.0ms	x
4.0ms	y
4.0ms	t
4.0ms	(*.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
79.4%	2	`t`
86.4%	3	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
85.5%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
87.0%	2	`x`
87.0%	2	`(*.f64 x x)`
79.2%	3	`y`
79.2%	3	`(*.f64 y #s(literal 4 binary64))`
93.2%	3	`z`
86.0%	3	`(-.f64 (*.f64 z z) t)`
93.2%	3	`(*.f64 z z)`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes10.0ms (0.1%)

Memory

-16.9MiB live, 20.9MiB 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 t y) #s(literal 4 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 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 (.f64 z z) y) (*.f64 x x)))

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.8%	3	`z`
92.8%	3	`(*.f64 z z)`

Compiler

Compiled 4 to 9 computations (-125% saved)

regimes7.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB 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 t y) #s(literal 4 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 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
88.3%	2	`z`
88.3%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 9 computations (-125% saved)

regimes7.0ms (0.1%)

Memory

-22.9MiB live, 15.1MiB allocated

Counts

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
88.0%	2	`z`
88.0%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 9 computations (-125% saved)

regimes42.0ms (0.5%)

Memory

4.4MiB live, 48.6MiB 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 t y) #s(literal 4 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 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))

Outputs

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

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

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

Calls

10 calls:

20.0ms	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
3.0ms	t
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
53.4%	4	`y`
53.4%	4	`(*.f64 y #s(literal 4 binary64))`
57.8%	3	`t`
67.9%	5	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
63.7%	3	`(-.f64 (*.f64 z z) t)`
64.3%	3	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
67.9%	3	`x`
65.6%	3	`(*.f64 x x)`
70.2%	5	`z`
67.0%	3	`(*.f64 z z)`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes9.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

4 → 5

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
66.8%	5	`(*.f64 x x)`
62.7%	3	`(*.f64 z z)`
65.9%	5	`z`
68.4%	5	`x`

Compiler

Compiled 8 to 18 computations (-125% saved)

regimes22.0ms (0.2%)

Memory

-7.7MiB live, 31.9MiB 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 t y) #s(literal 4 binary64)))

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

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

Calls

7 calls:

10.0ms	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
2.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
2.0ms	x
2.0ms	(-.f64 (*.f64 z z) t)
2.0ms	z

Results

Accuracy	Segments	Branch
42.6%	2	`(*.f64 z z)`
45.8%	4	`z`
59.9%	2	`(*.f64 x x)`
44.9%	3	`(-.f64 (*.f64 z z) t)`
54.4%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
48.0%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
59.9%	2	`x`

Compiler

Compiled 35 to 44 computations (-25.7% saved)

regimes18.0ms (0.2%)

Memory

1.1MiB live, 38.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

10 calls:

6.0ms	(*.f64 y #s(literal 4 binary64))
1.0ms	z
1.0ms	(-.f64 (*.f64 z z) t)
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
39.3%	1	`(*.f64 z z)`
39.3%	1	`z`
39.3%	1	`(-.f64 (*.f64 z z) t)`
39.3%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
39.3%	1	`y`
39.3%	1	`(*.f64 y #s(literal 4 binary64))`
39.3%	1	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
39.3%	1	`t`
39.3%	1	`x`
39.3%	1	`(*.f64 x x)`

Compiler

Compiled 40 to 58 computations (-45% saved)

bsearch4.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	34819509750538.625	33990495157611296.0

Samples

2.0ms

32×

valid

Compiler

Compiled 72 to 66 computations (8.3% saved)

Precisions

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

ival-mult: 1.0ms (94.9% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.989884208488078e+307	+inf

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.989884208488078e+307	+inf
0.0ms	3701734.317317962	40979253063.38476

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.989884208488078e+307	+inf
0.0ms	3701734.317317962	40979253063.38476

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	4.154387673840641e+75	1.7689252956969167e+77

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	4.154387673840641e+75	1.7689252956969167e+77

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch26.0ms (0.3%)

Memory

-30.3MiB live, 51.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.0850965885866292e+54	2.4309790027110075e+56
11.0ms	8.047806570457787e-220	4.128441704459272e-219

Samples

14.0ms

208×

valid

Compiler

Compiled 184 to 251 computations (-36.4% saved)

Precisions

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

ival-mult: 6.0ms (72.4% of total)

ival-sub: 2.0ms (24.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch55.0ms (0.6%)

Memory

19.9MiB live, 58.8MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
8.0ms	1.2029069421738766e+46	4.3672581660822226e+46
32.0ms	3.418780821968326e-75	2.939641916859254e-73
11.0ms	3.9725140914702485e-109	1.6455471894060992e-107
1.0ms	8.047806570457787e-220	4.128441704459272e-219

Samples

39.0ms

304×

valid

Compiler

Compiled 356 to 483 computations (-35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 28.0ms (90.9% of total)

ival-sub: 3.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Memory

-14.1MiB live, 24.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.064891975152396e-48	6.87445813495035e-44

Samples

9.0ms

128×

valid

Compiler

Compiled 96 to 146 computations (-52.1% saved)

Precisions

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

ival-mult: 3.0ms (69.4% of total)

ival-sub: 1.0ms (23.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify59.0ms (0.7%)

Memory

-8.6MiB live, 71.4MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`-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	82	542
1	100	542
2	108	542
3	113	542
4	116	542
5	117	542

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 t #s(literal 2000000000000000 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))) (fma.f64 x x (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 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 z (*.f64 y #s(literal -4 binary64))) z)))
(if (<=.f64 (.f64 z z) #s(literal 5000000 binary64)) (fma.f64 x x #s(approx ( (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) (if (<=.f64 (.f64 z z) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (fma.f64 x x (.f64 (.f64 #s(approx (- ( z z) t) (.f64 z z)) y) #s(literal -4 binary64))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))))
(if (<=.f64 (.f64 z z) #s(literal 5000000 binary64)) (fma.f64 x x #s(approx ( (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) (if (<=.f64 (.f64 z z) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 (.f64 z z) y) (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (fma.f64 x x #s(approx ( (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z)))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 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 z (*.f64 y #s(literal -4 binary64))) z)))
(if (<=.f64 x #s(literal 1053228273816801/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 12999999999999999996942924496935779559845861603214884864 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))))
(if (<=.f64 x #s(literal 1053228273816801/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 2379801487644895/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (.f64 z z) y))) (if (<=.f64 x #s(literal 2864581841720371/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 18999999999999999616126441637347524301211828224 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 x x))))))
(if (<=.f64 x #s(literal 6829486688100709/100433627766186892221372630771322662657637687111424552206336 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

Outputs
(if (<=.f64 t #s(literal 2000000000000000 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))) (fma.f64 x x (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))))
(if (<=.f64 t #s(literal 2000000000000000 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))) (fma.f64 x x (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 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 z (*.f64 y #s(literal -4 binary64))) z)))
(if (<=.f64 (.f64 z z) #s(literal 5000000 binary64)) (fma.f64 x x #s(approx ( (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) (if (<=.f64 (.f64 z z) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (fma.f64 x x (.f64 (.f64 #s(approx (- ( z z) t) (.f64 z z)) y) #s(literal -4 binary64))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))))
(if (<=.f64 (.f64 z z) #s(literal 5000000 binary64)) (fma.f64 x x #s(approx ( (* (- (* z z) t) y) -4) (.f64 (.f64 y t) #s(literal 4 binary64)))) (if (<=.f64 (.f64 z z) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (fma.f64 x x (.f64 (.f64 #s(approx (- ( z z) t) (.f64 z z)) y) #s(literal -4 binary64))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))))
(if (<=.f64 (.f64 z z) #s(literal 5000000 binary64)) (fma.f64 x x #s(approx ( (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) (if (<=.f64 (.f64 z z) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 (.f64 z z) y) (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))))
(if (<=.f64 (.f64 z z) #s(literal 5000000 binary64)) (fma.f64 x x #s(approx ( (* (- (* z z) t) y) -4) (.f64 (.f64 y t) #s(literal 4 binary64)))) (if (<=.f64 (.f64 z z) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 (.f64 z z) y) (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (fma.f64 x x #s(approx ( (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z)))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (fma.f64 x x #s(approx ( (* (- (* z z) t) y) -4) (.f64 (.f64 y t) #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z)))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 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 z (*.f64 y #s(literal -4 binary64))) z)))
(if (<=.f64 (.f64 z z) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 y t) #s(literal 4 binary64) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z)))
(if (<=.f64 x #s(literal 1053228273816801/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 12999999999999999996942924496935779559845861603214884864 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))))
(if (<=.f64 x #s(literal 1053228273816801/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y t) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 12999999999999999996942924496935779559845861603214884864 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))))
(if (<=.f64 x #s(literal 1053228273816801/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 2379801487644895/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (.f64 z z) y))) (if (<=.f64 x #s(literal 2864581841720371/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 18999999999999999616126441637347524301211828224 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 x x))))))
(if (<=.f64 x #s(literal 1053228273816801/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y t) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 2379801487644895/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64))) (if (<=.f64 x #s(literal 2864581841720371/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y t) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 18999999999999999616126441637347524301211828224 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 z z) y) #s(literal -4 binary64))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))))))
(if (<=.f64 x #s(literal 6829486688100709/100433627766186892221372630771322662657637687111424552206336 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 t y) #s(literal 4 binary64))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
(if (<=.f64 x #s(literal 6829486688100709/100433627766186892221372630771322662657637687111424552206336 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y t) #s(literal 4 binary64))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

soundness1.0s (12%)

Memory

59.0MiB live, 756.0MiB allocated

Rules

14 692×	`lower-fma.f64`
14 692×	`lower-fma.f32`
14 214×	`lower-fma.f64`
14 214×	`lower-fma.f32`
8 900×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	6296
1	495	5666
2	1567	5186
3	5019	5096
0	8408	4849
0	32	168
0	51	172
1	164	161
2	1222	147
0	9435	147
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

Stop Event

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

Compiler

Compiled 624 to 389 computations (37.7% saved)

preprocess122.0ms (1.4%)

Memory

-23.1MiB live, 235.3MiB allocated

Remove

(abs x)

(abs z)

Compiler

Compiled 732 to 268 computations (63.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (13.6%)

explain149.0ms (1.7%)

preprocess227.0ms (2.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify67.0ms (0.8%)

localize269.0ms (3.1%)

series13.0ms (0.2%)

simplify356.0ms (4.1%)

rewrite188.0ms (2.2%)

eval68.0ms (0.8%)

prune14.0ms (0.2%)

simplify59.0ms (0.7%)

localize77.0ms (0.9%)

series56.0ms (0.7%)

simplify200.0ms (2.3%)

rewrite265.0ms (3.1%)

eval572.0ms (6.6%)

prune55.0ms (0.6%)

simplify114.0ms (1.3%)

localize96.0ms (1.1%)

series37.0ms (0.4%)

simplify246.0ms (2.8%)

rewrite197.0ms (2.3%)

eval202.0ms (2.3%)

prune253.0ms (2.9%)

simplify324.0ms (3.7%)

localize117.0ms (1.3%)

series46.0ms (0.5%)

simplify238.0ms (2.7%)

rewrite397.0ms (4.6%)

eval919.0ms (10.6%)

prune78.0ms (0.9%)

regimes64.0ms (0.7%)

regimes20.0ms (0.2%)

regimes57.0ms (0.7%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes42.0ms (0.5%)

regimes9.0ms (0.1%)

regimes22.0ms (0.2%)

regimes18.0ms (0.2%)

bsearch4.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch26.0ms (0.3%)

bsearch55.0ms (0.6%)

bsearch16.0ms (0.2%)

simplify59.0ms (0.7%)

soundness1.0s (12%)

preprocess122.0ms (1.4%)

end0.0ms (0%)

Profiling