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 (14.8%)

Memory

12.3MiB live, 1 235.8MiB allocated

Samples

608.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 313.0ms

ival-mult: 223.0ms (71.2% of total)

ival-sub: 77.0ms (24.6% of total)

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

exact: 4.0ms (1.3% of total)

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

Bogosity

explain148.0ms (1.9%)

Memory

12.8MiB live, 215.8MiB 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	65
↳	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`	overflow	81
↳	`(-.f64 (*.f64 z z) t)`	overflow	66
↳	`(*.f64 z z)`	overflow	66

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

59.0ms

512×

valid

Compiler

Compiled 99 to 37 computations (62.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-sub: 27.0ms (68.2% of total)

ival-mult: 12.0ms (30.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess238.0ms (3%)

Memory

6.2MiB live, 155.7MiB 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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.4%	(-.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)

simplify52.0ms (0.7%)

Memory

-2.5MiB live, 75.2MiB 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

localize100.0ms (1.3%)

Memory

-23.2MiB live, 64.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(-.f64 (*.f64 z z) t)
accuracy	2.6953001149812352	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
accuracy	3.3369561470276174	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))

Samples

87.0ms

256×

valid

Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 76.0ms (96.8% of total)

ival-sub: 2.0ms (2.5% 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

31.7MiB live, 31.7MiB 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))

simplify194.0ms (2.5%)

Memory

9.0MiB live, 198.6MiB 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)

rewrite381.0ms (4.8%)

Memory

-23.0MiB live, 224.8MiB 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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eval77.0ms (1%)

Memory: 24.6MiB live, 95.1MiB allocated
Compiler: Compiled 10 015 to 889 computations (91.1% saved)

prune79.0ms (1%)

Memory

0.6MiB live, 38.0MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	385	9	394
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	386	9	395

Accuracy

100.0%

Counts

395 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.0%	(fma.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal -4 binary64) y) (*.f64 x x))
▶	95.7%	(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)))
▶	90.4%	(-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))))
	71.8%	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 z z t) (.f64 (-.f64 (.f64 z z) t) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64))))))
	68.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
▶	59.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
	30.2%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t))
▶	44.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
▶	35.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))

Compiler

Compiled 210 to 186 computations (11.4% saved)

simplify78.0ms (1%)

Memory

-19.6MiB live, 32.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize107.0ms (1.4%)

Memory

2.9MiB live, 156.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (*.f64 z z) t)
accuracy	0.33834409793937636	(pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))
accuracy	2.6953001149812352	(-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))))
accuracy	3.3955498970276174	(/.f64 (.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (.f64 z z) t) #s(literal -1 binary64)))
accuracy	0	(neg.f64 t)
accuracy	0.00390625	(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
accuracy	3.5413155248374126	(*.f64 (fma.f64 z z (neg.f64 t)) y)
accuracy	24.262685320988588	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
accuracy	0	(*.f64 z z)
accuracy	0.0078125	(.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y))
accuracy	7.9360599862701475	(.f64 (.f64 z z) y)
accuracy	39.364876501583076	#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	35.66396918715492	#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	1.3108746314288537	(fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))
accuracy	1.480457052701738	(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

68.0ms

256×

valid

Compiler

Compiled 196 to 32 computations (83.7% saved)

Precisions

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

ival-mult: 22.0ms (50.2% of total)

ival-sub: 9.0ms (20.5% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series86.0ms (1.1%)

Memory

-9.1MiB live, 100.4MiB allocated

Counts

20 → 588

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	z	@	inf	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (* z z) y)) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* z z) (neg t)) (/ (* 4 y) (pow (- (* z z) t) -1)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* 4 y) (neg t) (pow (- (* z z) t) -1) (- (* z z) t))
5.0ms	y	@	inf	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (* z z) y)) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* z z) (neg t)) (/ (* 4 y) (pow (- (* z z) t) -1)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* 4 y) (neg t) (pow (- (* z z) t) -1) (- (* z z) t))
3.0ms	t	@	0	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (* z z) y)) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* z z) (neg t)) (/ (* 4 y) (pow (- (* z z) t) -1)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* 4 y) (neg t) (pow (- (* z z) t) -1) (- (* z z) t))
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)) (/ (* 4 y) (pow (- (* z z) t) -1)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* 4 y) (neg t) (pow (- (* z z) t) -1) (- (* z z) t))
2.0ms	y	@	0	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (* z z) y)) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* z z) (neg t)) (/ (* 4 y) (pow (- (* z z) t) -1)) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* 4 y) (neg t) (pow (- (* z z) t) -1) (- (* z z) t))

simplify189.0ms (2.4%)

Memory

22.5MiB live, 346.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

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

rewrite638.0ms (8.1%)

Memory

22.3MiB live, 287.6MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

20 → 870

Calls

Call 1

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

Outputs
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eval459.0ms (5.8%)

Memory: -22.5MiB live, 433.0MiB allocated
Compiler: Compiled 34 016 to 2 634 computations (92.3% saved)

prune256.0ms (3.3%)

Memory

-26.3MiB live, 98.9MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	1 542	7	1 549
Fresh	4	0	4
Picked	3	2	5
Done	0	0	0
Total	1 549	9	1 558

Accuracy

100.0%

Counts

1 558 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.4%	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
▶	30.2%	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64)))
	59.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t)))))
▶	59.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
▶	38.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
	58.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(approx (+ (* z z) (neg t)) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) #s(literal -4 binary64)))
▶	58.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64)))
✓	44.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	35.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))

Compiler

Compiled 158 to 163 computations (-3.2% saved)

simplify209.0ms (2.7%)

Memory

30.4MiB live, 101.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

3 924×	`lower-fma.f32`
3 920×	`lower-fma.f64`
2 286×	`lower-*.f32`
2 264×	`lower-*.f64`
1 384×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	266
0	59	260
1	107	260
2	258	256
3	652	256
4	1205	247
5	2670	247
6	4304	247
7	5024	247
8	5630	247
9	5881	247
10	5994	247
11	7116	247
12	7870	247
0	8015	242

Stop Event

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

Calls

Call 1

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

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

localize144.0ms (1.8%)

Memory

-22.3MiB live, 82.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64))
accuracy	0.078125	(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
accuracy	6.05106931107834	(.f64 (.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))
accuracy	24.262685320988588	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64)))
accuracy	0.00390625	(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
accuracy	0.0078125	(-.f64 (*.f64 z z) t)
accuracy	3.5413155248374126	(.f64 (-.f64 (.f64 z z) t) y)
accuracy	24.262685320988588	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
accuracy	0	(.f64 (.f64 z #s(literal -4 binary64)) y)
accuracy	0	(*.f64 z #s(literal -4 binary64))
accuracy	0.10546875	(.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z)
accuracy	39.364876501583076	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
accuracy	0	(*.f64 t y)
accuracy	0.016288769536884032	(.f64 (.f64 t y) #s(literal 4 binary64))
accuracy	44.69675000829025	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 t y)
accuracy	1.3108746314288537	(fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))
accuracy	18.955174446385094	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))

Samples

86.0ms

256×

valid

Compiler

Compiled 194 to 35 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 22.0ms (61.5% of total)

ival-div: 3.0ms (8.4% of total)

ival-add: 3.0ms (8.4% of total)

ival-sub: 3.0ms (8.4% of total)

ival-pow: 3.0ms (8.4% of total)

ival-neg: 1.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series99.0ms (1.3%)

Memory

-18.1MiB live, 58.5MiB allocated

Counts

19 → 624

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
45.0ms	t	@	-inf	((- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (+ (* (* t y) 4) (* x x)) (* t y) (* x x) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* (* t y) 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z -4) y) z) (* (* z -4) y) (* z -4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (* (* t y) (+ (* (/ z t) z) -1)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* (/ z t) z) -1))
3.0ms	y	@	-inf	((- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (+ (* (* t y) 4) (* x x)) (* t y) (* x x) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* (* t y) 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z -4) y) z) (* (* z -4) y) (* z -4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (* (* t y) (+ (* (/ z t) z) -1)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* (/ z t) z) -1))
2.0ms	y	@	0	((- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (+ (* (* t y) 4) (* x x)) (* t y) (* x x) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* (* t y) 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z -4) y) z) (* (* z -4) y) (* z -4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (* (* t y) (+ (* (/ z t) z) -1)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* (/ z t) z) -1))
2.0ms	y	@	inf	((- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (+ (* (* t y) 4) (* x x)) (* t y) (* x x) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* (* t y) 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z -4) y) z) (* (* z -4) y) (* z -4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (* (* t y) (+ (* (/ z t) z) -1)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* (/ z t) z) -1))
2.0ms	z	@	inf	((- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (+ (* (* t y) 4) (* x x)) (* t y) (* x x) (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (* (* t y) 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z -4) y) z) (* (* z -4) y) (* z -4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (* (* t y) (+ (* (/ z t) z) -1)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* (/ z t) z) -1))

simplify273.0ms (3.5%)

Memory

10.2MiB live, 161.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 792×	`lower-fma.f64`
14 792×	`lower-fma.f32`
5 516×	`lower-*.f64`
5 516×	`lower-*.f32`
2 000×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	6674
1	387	6404
2	1211	5474
3	5108	5384
0	8192	5119

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 624

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

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

rewrite265.0ms (3.4%)

Memory

28.5MiB live, 298.3MiB allocated

Rules

8 342×	`lower-fma.f32`
8 338×	`lower-fma.f64`
4 224×	`lower-*.f32`
4 202×	`lower-*.f64`
3 276×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	235
0	59	232
1	200	228
2	1471	228
0	8470	223

Stop Event

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

Counts

19 → 421

Calls

Call 1

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

Outputs
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eval213.0ms (2.7%)

Memory: -1.9MiB live, 397.3MiB allocated
Compiler: Compiled 16 642 to 1 907 computations (88.5% saved)

prune89.0ms (1.1%)

Memory

10.5MiB live, 133.5MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	1 095	2	1 097
Fresh	2	0	2
Picked	0	5	5
Done	0	2	2
Total	1 097	9	1 106

Accuracy

100.0%

Counts

1 106 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.4%	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
✓	30.2%	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64)))
▶	59.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 z z) t))))
✓	59.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
✓	38.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
▶	58.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)) #s(literal -4 binary64)))
✓	58.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64)))
✓	44.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	35.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))

Compiler

Compiled 85 to 89 computations (-4.7% saved)

simplify121.0ms (1.5%)

Memory

-9.1MiB live, 105.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t))
cost-diff	0	(*.f64 y #s(literal 4 binary64))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 z z) t))))
cost-diff	1088	(/.f64 (.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 z z) t)))
cost-diff	0	#s(approx (* (+ (* z z) (neg t)) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t))
cost-diff	0	(.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)) #s(literal -4 binary64))
cost-diff	0	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)) #s(literal -4 binary64)))
cost-diff	896	(.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)

Rules

2 984×	`lower-fma.f32`
2 982×	`lower-fma.f64`
1 970×	`lower-*.f32`
1 960×	`lower-*.f64`
1 670×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	166
0	40	163
1	67	159
2	166	159
3	520	159
4	1209	159
5	2936	147
6	6181	147
7	6714	147
8	7235	147
0	8025	145

Stop Event

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

Calls

Call 1

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

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

localize86.0ms (1.1%)

Memory

-20.3MiB live, 152.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (*.f64 z z) t)
accuracy	0.33834409793937636	(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t))
accuracy	3.3955498970276174	(/.f64 (.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 z z) t)))
accuracy	24.262685320988588	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 z z) t))))
accuracy	0.078125	(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
accuracy	2.658239693288794	(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y)
accuracy	3.5346868226760018	(.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)
accuracy	24.262685320988588	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) y) t)) #s(literal -4 binary64)))

Samples

68.0ms

256×

valid

Compiler

Compiled 115 to 26 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 23.0ms (41.1% of total)

ival-add: 17.0ms (30.3% of total)

ival-sub: 8.0ms (14.3% of total)

ival-div: 7.0ms (12.5% of total)

ival-neg: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series46.0ms (0.6%)

Memory

19.8MiB live, 58.1MiB allocated

Counts

11 → 360

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	y	@	0	((* (* (+ (* (/ z t) z) -1) y) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (/ (* y 4) (/ -1 (- (* z z) t))) (- (* x x) (* (* y 4) (- (* z z) t))) (* y 4) (/ -1 (- (* z z) t)) (* (+ (* (/ z t) z) -1) y) (+ (* (/ z t) z) -1) (- (* z z) t))
2.0ms	y	@	-inf	((* (* (+ (* (/ z t) z) -1) y) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (/ (* y 4) (/ -1 (- (* z z) t))) (- (* x x) (* (* y 4) (- (* z z) t))) (* y 4) (/ -1 (- (* z z) t)) (* (+ (* (/ z t) z) -1) y) (+ (* (/ z t) z) -1) (- (* z z) t))
2.0ms	y	@	inf	((* (* (+ (* (/ z t) z) -1) y) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (/ (* y 4) (/ -1 (- (* z z) t))) (- (* x x) (* (* y 4) (- (* z z) t))) (* y 4) (/ -1 (- (* z z) t)) (* (+ (* (/ z t) z) -1) y) (+ (* (/ z t) z) -1) (- (* z z) t))
1.0ms	z	@	inf	((* (* (+ (* (/ z t) z) -1) y) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (/ (* y 4) (/ -1 (- (* z z) t))) (- (* x x) (* (* y 4) (- (* z z) t))) (* y 4) (/ -1 (- (* z z) t)) (* (+ (* (/ z t) z) -1) y) (+ (* (/ z t) z) -1) (- (* z z) t))
1.0ms	t	@	-inf	((* (* (+ (* (/ z t) z) -1) y) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (/ (* y 4) (/ -1 (- (* z z) t))) (- (* x x) (* (* y 4) (- (* z z) t))) (* y 4) (/ -1 (- (* z z) t)) (* (+ (* (/ z t) z) -1) y) (+ (* (/ z t) z) -1) (- (* z z) t))

simplify207.0ms (2.6%)

Memory

-8.4MiB live, 271.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 288×	`lower-fma.f64`
8 288×	`lower-fma.f32`
3 696×	`lower-*.f64`
3 696×	`lower-*.f32`
1 912×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	4195
1	580	3912
2	1767	3534
3	6549	3450
0	8373	3284

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

rewrite157.0ms (2%)

Memory

-28.3MiB live, 256.4MiB allocated

Rules

8 162×	`lower-fma.f32`
8 160×	`lower-fma.f64`
5 136×	`lower-*.f32`
5 126×	`lower-*.f64`
2 686×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	150
0	40	147
1	137	143
2	1025	143
0	9358	132

Stop Event

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

Counts

11 → 555

Calls

Call 1

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

Outputs
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eval209.0ms (2.7%)

Memory: 43.1MiB live, 273.0MiB allocated
Compiler: Compiled 16 435 to 2 569 computations (84.4% saved)

prune26.0ms (0.3%)

Memory

-0.0MiB live, 82.6MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	913	2	915
Fresh	0	0	0
Picked	2	0	2
Done	0	7	7
Total	915	9	924

Accuracy

100.0%

Counts

924 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.4%	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
✓	30.2%	#s(approx (- (* x x) (/ (* 4 y) (pow (- (* z z) t) -1))) (.f64 (.f64 t y) #s(literal 4 binary64)))
	35.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- ( z z) t) (*.f64 z z)))))
✓	59.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
✓	38.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z))
	33.7%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)) y) t)) #s(literal -4 binary64)))
✓	58.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(approx ( (+ (* z z) (neg t)) y) (.f64 (.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64)))
✓	44.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	35.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))

Compiler

Compiled 326 to 175 computations (46.3% saved)

regimes70.0ms (0.9%)

Memory

-13.3MiB live, 144.4MiB allocated

Counts

21 → 2

Calls

Call 1

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

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

Calls

10 calls:

9.0ms	y
8.0ms	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
8.0ms	t
7.0ms	(*.f64 z z)
6.0ms	(*.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
97.2%	2	`x`
95.7%	1	`y`
97.6%	2	`z`
95.7%	1	`t`
97.2%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
97.2%	2	`(*.f64 x x)`
95.7%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
95.7%	1	`(*.f64 y #s(literal 4 binary64))`
97.6%	2	`(-.f64 (*.f64 z z) t)`
97.6%	2	`(*.f64 z z)`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes53.0ms (0.7%)

Memory

-3.6MiB live, 113.5MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
92.0%	1	`y`
92.0%	1	`(*.f64 y #s(literal 4 binary64))`
92.0%	1	`t`
94.2%	2	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
93.9%	2	`x`
93.9%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
93.9%	2	`(*.f64 x x)`
96.4%	2	`z`
96.4%	2	`(-.f64 (*.f64 z z) t)`
96.4%	2	`(*.f64 z z)`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes50.0ms (0.6%)

Memory

-4.4MiB live, 50.2MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
75.8%	3	`y`
71.0%	2	`t`
75.8%	3	`(*.f64 y #s(literal 4 binary64))`
84.1%	2	`x`
80.7%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
84.1%	2	`(*.f64 x x)`
84.6%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
85.2%	2	`z`
84.5%	2	`(-.f64 (*.f64 z z) t)`
85.2%	2	`(*.f64 z z)`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes31.0ms (0.4%)

Memory

-1.8MiB live, 37.4MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
57.6%	4	`t`
56.4%	4	`y`
56.4%	4	`(*.f64 y #s(literal 4 binary64))`
67.0%	3	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
68.8%	5	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
65.3%	2	`x`
65.3%	2	`(*.f64 x x)`
66.6%	3	`(-.f64 (*.f64 z z) t)`
65.0%	2	`z`
65.0%	2	`(*.f64 z z)`

Compiler

Compiled 40 to 58 computations (-45% saved)

regimes37.0ms (0.5%)

Memory

-13.6MiB live, 25.7MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

Calls

7 calls:

25.0ms	(-.f64 (*.f64 z z) t)
2.0ms	x
2.0ms	z
2.0ms	(.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)))

Results

Accuracy	Segments	Branch
65.9%	5	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
63.7%	3	`(-.f64 (*.f64 z z) t)`
62.1%	2	`z`
62.1%	2	`(*.f64 z z)`
66.2%	4	`x`
62.0%	2	`(*.f64 x x)`
64.5%	3	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`

Compiler

Compiled 35 to 44 computations (-25.7% saved)

regimes13.0ms (0.2%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
49.9%	2	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
60.6%	2	`(*.f64 x x)`
49.4%	2	`(-.f64 (*.f64 z z) t)`
44.3%	1	`z`
44.3%	1	`(*.f64 z z)`
59.7%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
60.6%	2	`x`

Compiler

Compiled 35 to 44 computations (-25.7% saved)

regimes27.0ms (0.3%)

Memory

-19.8MiB live, 19.6MiB 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

8 calls:

18.0ms	(*.f64 y #s(literal 4 binary64))
1.0ms	y
1.0ms	t
1.0ms	x
1.0ms	(-.f64 (*.f64 z z) t)

Results

Accuracy	Segments	Branch
44.3%	1	`(-.f64 (*.f64 z z) t)`
44.3%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
44.3%	1	`y`
44.3%	1	`(*.f64 y #s(literal 4 binary64))`
44.3%	1	`t`
44.3%	1	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
44.3%	1	`(*.f64 x x)`
44.3%	1	`x`

Compiler

Compiled 36 to 49 computations (-36.1% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.921245121258804e+285	2.3384075506675872e+294

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.3384075506675872e+294	4.1061621763347277e+301

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.4079387126275817e+259	2.558136617959242e+263

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.9882501469202238e-221	3.372229254581691e-220
0.0ms	-inf	-1.3426849187994845e+308

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch40.0ms (0.5%)

Memory

-5.9MiB live, 34.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
20.0ms	3.856505189239326e+39	2.0107220707304364e+40
10.0ms	3.2416779439936294e-34	1.4320757892414118e-32
6.0ms	2.0030147888291585e-267	3.956194933309764e-267

Samples

27.0ms

272×

valid

Compiler

Compiled 242 to 329 computations (-36% saved)

Precisions

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

ival-mult: 6.0ms (69.7% of total)

ival-sub: 2.0ms (23.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	5.873571655595928e+36	1.252423768645685e+37

Samples

4.0ms

80×

valid

Compiler

Compiled 66 to 98 computations (-48.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 2.0ms (82.9% of total)

ival-sub: 1.0ms (41.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify49.0ms (0.6%)

Memory

18.3MiB live, 57.4MiB allocated

Algorithm

1×	egg-herbie

Rules

226×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
204×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
180×	`neg-mul-1-binary64-*.f64-neg.f64`
108×	`distribute-lft-neg-out-binary64-neg.f64-*.f64`
102×	`neg-sub0-binary64--.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	358
1	88	358
2	111	358
3	128	358
4	156	358
5	193	358
6	234	358
7	315	358
8	473	358
9	590	358
10	655	358
11	713	358
12	758	358
13	803	358
14	810	358
15	829	358

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 z z) #s(literal 10000000000000000329886110340869674854270880115045078636847583141738025727786089878914788718586324412860117381629402398400588202211517615861824081167237790591132705927077058380451118207922609574937392980048643791654301923722148311225012721166820834263125344653917287293299907083743789056 binary64)) (fma.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal -4 binary64) y) (.f64 x x)) (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))))
(if (<=.f64 (.f64 z z) #s(literal 4000000000000000265745870964992412474188624682345169817941844429507426986511536202334179561386750279217624483134269842672150977168644203563511501549484480799043083520312156500519197890424535819759537314298453172822735743878269394362925424082877062539868472495006549574074367874961805717981364224 binary64)) (fma.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal -4 binary64) y) (.f64 x x)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z)))
(if (<=.f64 (.f64 z z) #s(literal 39999999999999997150953620814670301475069572832463064489271259228058803814181099760309853657645531057698975590781902541017291724660044902687148574375248911084194178429832187175185779881728330695345265886695114477941835598992358474797742843071017124356939579392 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z)))
(if (<=.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t))) #s(literal -inf.0 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z)) (if (<=.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t))) #s(literal 8139666055761541/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))))
(if (<=.f64 x #s(literal 7899777326288223/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944 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 5378326025377723/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) (if (<=.f64 x #s(literal 15600000000000000328835105992370219384832 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 7400000000000000579545831229150461952 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

Outputs
(if (<=.f64 (.f64 z z) #s(literal 10000000000000000329886110340869674854270880115045078636847583141738025727786089878914788718586324412860117381629402398400588202211517615861824081167237790591132705927077058380451118207922609574937392980048643791654301923722148311225012721166820834263125344653917287293299907083743789056 binary64)) (fma.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal -4 binary64) y) (.f64 x x)) (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))))
(if (<=.f64 (.f64 z z) #s(literal 10000000000000000329886110340869674854270880115045078636847583141738025727786089878914788718586324412860117381629402398400588202211517615861824081167237790591132705927077058380451118207922609574937392980048643791654301923722148311225012721166820834263125344653917287293299907083743789056 binary64)) (fma.f64 (-.f64 (.f64 z z) t) (.f64 y #s(literal -4 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))))
(if (<=.f64 (.f64 z z) #s(literal 4000000000000000265745870964992412474188624682345169817941844429507426986511536202334179561386750279217624483134269842672150977168644203563511501549484480799043083520312156500519197890424535819759537314298453172822735743878269394362925424082877062539868472495006549574074367874961805717981364224 binary64)) (fma.f64 (-.f64 (.f64 z z) t) (.f64 #s(literal -4 binary64) y) (.f64 x x)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z)))
(if (<=.f64 (.f64 z z) #s(literal 4000000000000000265745870964992412474188624682345169817941844429507426986511536202334179561386750279217624483134269842672150977168644203563511501549484480799043083520312156500519197890424535819759537314298453172822735743878269394362925424082877062539868472495006549574074367874961805717981364224 binary64)) (fma.f64 (-.f64 (.f64 z z) t) (.f64 y #s(literal -4 binary64)) (.f64 x x)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) z)))
(if (<=.f64 (.f64 z z) #s(literal 39999999999999997150953620814670301475069572832463064489271259228058803814181099760309853657645531057698975590781902541017291724660044902687148574375248911084194178429832187175185779881728330695345265886695114477941835598992358474797742843071017124356939579392 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) z)))
(if (<=.f64 (.f64 z z) #s(literal 39999999999999997150953620814670301475069572832463064489271259228058803814181099760309853657645531057698975590781902541017291724660044902687148574375248911084194178429832187175185779881728330695345265886695114477941835598992358474797742843071017124356939579392 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 (*.f64 #s(literal -4 binary64) z) y) z)))
(if (<=.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t))) #s(literal -inf.0 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) z)) (if (<=.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t))) #s(literal 8139666055761541/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))))
(if (<=.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) (-.f64 (.f64 z z) t))) #s(literal -inf.0 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) z)) (if (<=.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) (-.f64 (.f64 z z) t))) #s(literal 8139666055761541/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))))
(if (<=.f64 x #s(literal 7899777326288223/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944 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 5378326025377723/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) (if (<=.f64 x #s(literal 15600000000000000328835105992370219384832 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 7899777326288223/2323463919496536035621972653359219625205094065092803842274643530181157276813131833664325491400244297796560505922176520391335289446163915168423172782972491602785891938199156053035447515366090213859748743409924120634480857354496687637745467094294778254706320477272099863787133357522944 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y (.f64 z z)) #s(literal -4 binary64))) (if (<=.f64 x #s(literal 5378326025377723/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t)) (if (<=.f64 x #s(literal 15600000000000000328835105992370219384832 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y (.f64 z z)) #s(literal -4 binary64))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))))
(if (<=.f64 x #s(literal 7400000000000000579545831229150461952 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
(if (<=.f64 x #s(literal 7400000000000000579545831229150461952 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

soundness917.0ms (11.7%)

Memory

-17.0MiB live, 500.4MiB allocated

Rules

14 692×	`lower-fma.f64`
14 692×	`lower-fma.f32`
13 174×	`lower-fma.f32`
13 168×	`lower-fma.f64`
6 090×	`lower-fma.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
0	34	176
0	54	177
1	188	169
2	1452	169
0	8450	164
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×	iter limit
1×	node limit

Compiler

Compiled 339 to 206 computations (39.2% saved)

preprocess162.0ms (2.1%)

Memory

9.6MiB live, 89.1MiB allocated

Remove

(abs x)

(abs z)

Compiler

Compiled 566 to 234 computations (58.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	65	358
1	88	358
2	111	358
3	128	358
4	156	358
5	193	358
6	234	358
7	315	358
8	473	358
9	590	358
10	655	358
11	713	358
12	758	358
13	803	358
14	810	358
15	829	358

Iter	Nodes	Cost
0	65	358
1	88	358
2	111	358
3	128	358
4	156	358
5	193	358
6	234	358
7	315	358
8	473	358
9	590	358
10	655	358
11	713	358
12	758	358
13	803	358
14	810	358
15	829	358

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (14.8%)

explain148.0ms (1.9%)

preprocess238.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify52.0ms (0.7%)

localize100.0ms (1.3%)

series13.0ms (0.2%)

simplify194.0ms (2.5%)

rewrite381.0ms (4.8%)

eval77.0ms (1%)

prune79.0ms (1%)

simplify78.0ms (1%)

localize107.0ms (1.4%)

series86.0ms (1.1%)

simplify189.0ms (2.4%)

rewrite638.0ms (8.1%)

eval459.0ms (5.8%)

prune256.0ms (3.3%)

simplify209.0ms (2.7%)

localize144.0ms (1.8%)

series99.0ms (1.3%)

simplify273.0ms (3.5%)

rewrite265.0ms (3.4%)

eval213.0ms (2.7%)

prune89.0ms (1.1%)

simplify121.0ms (1.5%)

localize86.0ms (1.1%)

series46.0ms (0.6%)

simplify207.0ms (2.6%)

rewrite157.0ms (2%)

eval209.0ms (2.7%)

prune26.0ms (0.3%)

regimes70.0ms (0.9%)

regimes53.0ms (0.7%)

regimes50.0ms (0.6%)

regimes31.0ms (0.4%)

regimes37.0ms (0.5%)

regimes13.0ms (0.2%)

regimes27.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch40.0ms (0.5%)

bsearch8.0ms (0.1%)

simplify49.0ms (0.6%)

soundness917.0ms (11.7%)

preprocess162.0ms (2.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	65	358
1	88	358
2	111	358
3	128	358
4	156	358
5	193	358
6	234	358
7	315	358
8	473	358
9	590	358
10	655	358
11	713	358
12	758	358
13	803	358
14	810	358
15	829	358