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)

sample1.3s (16.5%)

Memory

-26.4MiB live, 1 541.2MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 721.0ms

ival-sub: 403.0ms (55.9% of total)

ival-mult: 304.0ms (42.2% of total)

ival-true: 6.0ms (0.8% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain107.0ms (1.4%)

Memory

24.2MiB live, 262.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
11	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
6	-	-	`(-.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**	11	0
`-.f64`	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`	nan-rescue	6	0
↳	`(*.f64 x x)`	overflow	56
↳	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`	overflow	80
↳	`(-.f64 (*.f64 z z) t)`	overflow	57
↳	`(*.f64 z z)`	overflow	57

Confusion

	Predicted +	Predicted -
+	16	0
-	1	239

Precision

0.9411764705882353

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	16	0	0
-	1	0	239

Precision?

0.9411764705882353

Recall?

1.0

Freqs

test

number	freq
0	239
1	17

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms

512×

valid

Compiler

Compiled 103 to 37 computations (64.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 15.0ms (71.3% of total)

ival-sub: 5.0ms (23.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess235.0ms (3%)

Memory

4.3MiB live, 121.4MiB allocated

Algorithm

1×	egg-herbie

Rules

1 632×	`lower-fma.f64`
1 632×	`lower-fma.f32`
1 572×	`distribute-lft-in`
1 236×	`unsub-neg`
1 122×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(abs x)

Compiler

Compiled 17 to 11 computations (35.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.9%	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify106.0ms (1.3%)

Memory

-33.9MiB live, 88.7MiB 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

localize26.0ms (0.3%)

Memory

16.0MiB live, 53.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(-.f64 (*.f64 z z) t)
accuracy	1.3046833716604118	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
accuracy	2.6295208475271417	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))

Samples

20.0ms

256×

valid

Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions

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

ival-mult: 6.0ms (71.1% of total)

ival-sub: 2.0ms (23.7% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-8.9MiB live, 27.9MiB 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
3.0ms	x	@	inf	((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t))
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))

simplify170.0ms (2.2%)

Memory

26.5MiB live, 175.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite201.0ms (2.5%)

Memory

-29.5MiB live, 259.8MiB 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
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) (.f64 (-.f64 (.f64 z z) t) y)) (.f64 (-.f64 (.f64 z z) t) y)) #s(literal 64 binary64))) (.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64)))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64)) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)))))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64)) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) (.f64 (-.f64 (.f64 z z) t) y)) (.f64 (-.f64 (.f64 z z) t) y)) #s(literal 64 binary64))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) (.f64 (-.f64 (.f64 z z) t) y)) (.f64 (-.f64 (.f64 z z) t) y)) #s(literal 64 binary64)) (.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x))) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) x (.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64))) (-.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64))) (.f64 (.f64 (*.f64 x x) x) x)))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (.f64 x x))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (.f64 x x)))) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (.f64 x x)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (.f64 x x))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) (.f64 (-.f64 (.f64 z z) t) y)) (.f64 (-.f64 (.f64 z z) t) y)) #s(literal 64 binary64)))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64)) (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64))))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) (.f64 (-.f64 (.f64 z z) t) y)) (.f64 (-.f64 (*.f64 z z) t) y)) #s(literal 64 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (.f64 x x)))
(.f64 (neg.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) (.f64 (-.f64 (.f64 z z) t) y)) (.f64 (-.f64 (.f64 z z) t) y)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)))))))
(.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (/.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x))))
(.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)))))
(.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))))
(.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64)))) (/.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64)))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) (.f64 (-.f64 (.f64 z z) t) y)) (.f64 (-.f64 (.f64 z z) t) y)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) (.f64 (-.f64 (.f64 z z) t) y)) #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)))) (fma.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) (.f64 (-.f64 (.f64 z z) t) y)) #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) x)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) (.f64 (-.f64 (.f64 z z) t) y)) (.f64 (-.f64 (.f64 z z) t) y)) #s(literal 64 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) (.f64 (-.f64 (.f64 z z) t) y)) (.f64 (-.f64 (.f64 z z) t) y)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) x (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) (.f64 (-.f64 (.f64 z z) t) y)) #s(literal 16 binary64)) (fma.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) (.f64 (-.f64 (.f64 z z) t) y)) #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) x)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) (.f64 (-.f64 (.f64 z z) t) y)) (.f64 (-.f64 (.f64 z z) t) y)) #s(literal 64 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) (.f64 (-.f64 (.f64 z z) t) y)) (.f64 (-.f64 (.f64 z z) t) y)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64)))))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) (.f64 (-.f64 (.f64 z z) t) y)) (.f64 (-.f64 (.f64 z z) t) y)) #s(literal 64 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (pow.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64)))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 x x) (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) (.f64 (-.f64 (.f64 z z) t) y)) (.f64 (-.f64 (.f64 z z) t) y)) #s(literal 64 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) y) (.f64 (-.f64 (.f64 z z) t) y)) (.f64 (-.f64 (*.f64 z z) t) y)) #s(literal 64 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 y y)) (-.f64 (.f64 z z) t)) (/.f64 (-.f64 (.f64 z z) t) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 y y)) (-.f64 (.f64 z z) t)) (/.f64 (-.f64 (.f64 z z) t) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)))))) (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 y y)) (-.f64 (.f64 z z) t)) (/.f64 (-.f64 (.f64 z z) t) (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) (-.f64 (.f64 z z) t)) (-.f64 (.f64 z z) t)) (/.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64)))))) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 x x) x) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64))))) (.f64 (.f64 (.f64 (-.f64 (.f64 z z) t) (-.f64 (.f64 z z) t)) (-.f64 (.f64 z z) t)) (/.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (fma.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))))))))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) (.f64 (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 t t) t)) (.f64 (.f64 t t) t))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 z z) z) z) (.f64 (.f64 (.f64 z z) z) z)) (.f64 (.f64 (.f64 z z) z) z) (.f64 (.f64 (.f64 t t) t) (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (.f64 t t) t)))) (fma.f64 (.f64 (.f64 z z) z) z (*.f64 (fma.f64 z z t) t))))
(/.f64 (.f64 (.f64 (fma.f64 z z t) (-.f64 (*.f64 z z) t)) #s(literal 1 binary64)) (fma.f64 z z t))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (.f64 t t) t)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 z z t) t)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 z z t)) (.f64 (fma.f64 z z t) (.f64 t t))) (*.f64 (fma.f64 z z t) (fma.f64 z z t)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 z z t) t))) (.f64 (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 z z t) t)) (.f64 (.f64 t t) t))) (.f64 (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 z z t) t)) (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 z z t) t))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 z z) z) z (.f64 t t)) (.f64 (fma.f64 z z t) (-.f64 (.f64 z z) t))) (.f64 (fma.f64 z z t) (fma.f64 (.f64 (.f64 z z) z) z (.f64 t t))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (.f64 t t) t)) (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (.f64 t t) t))) (.f64 (fma.f64 z z t) (fma.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 (.f64 z z) z) z)) z (.f64 (.f64 t t) (fma.f64 (.f64 (.f64 z z) z) z (*.f64 t t))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (.f64 t t) t)) (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (.f64 t t) t))) (.f64 (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 z z t) t)) (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (*.f64 t t) t))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) (.f64 (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 t t) t)) (.f64 (.f64 t t) t))) (.f64 (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 z z t) t)) (fma.f64 (.f64 (.f64 (.f64 (.f64 z z) z) z) (.f64 (.f64 (.f64 z z) z) z)) (.f64 (.f64 (.f64 z z) z) z) (.f64 (.f64 (.f64 t t) t) (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (.f64 t t) t))))))
(/.f64 (neg.f64 (.f64 (fma.f64 z z t) (-.f64 (.f64 z z) t))) (neg.f64 (fma.f64 z z t)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (.f64 t t) t))) (neg.f64 (fma.f64 (.f64 (.f64 z z) z) z (*.f64 (fma.f64 z z t) t))))
(/.f64 (.f64 (fma.f64 z z t) (-.f64 (.f64 z z) t)) (fma.f64 z z t))
(/.f64 (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (.f64 t t) t)) (fma.f64 t t (-.f64 (.f64 (.f64 (.f64 z z) z) z) (.f64 (neg.f64 t) (*.f64 z z)))))
(/.f64 (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (.f64 t t) t)) (fma.f64 (.f64 (.f64 z z) z) z (*.f64 (fma.f64 z z t) t)))
(neg.f64 (neg.f64 (-.f64 (*.f64 z z) t)))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 z z t) t)) (-.f64 (.f64 (.f64 (.f64 z z) z) z) (.f64 (fma.f64 z z t) t)))) (-.f64 (.f64 (.f64 (.f64 z z) z) z) (.f64 (fma.f64 z z t) t)) (neg.f64 (/.f64 (.f64 (.f64 t t) t) (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 z z t) t)))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (fma.f64 (.f64 (.f64 (.f64 (.f64 z z) z) z) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) (.f64 z z) (.f64 (.f64 (.f64 (fma.f64 z z t) t) (.f64 (fma.f64 z z t) t)) (.f64 (fma.f64 z z t) t)))) (fma.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 (.f64 z z) z) z)) z (.f64 (.f64 (fma.f64 z z t) t) (-.f64 (.f64 (fma.f64 z z t) t) (.f64 (.f64 (.f64 z z) z) z)))) (neg.f64 (/.f64 (.f64 (.f64 t t) t) (fma.f64 (.f64 (.f64 z z) z) z (*.f64 (fma.f64 z z t) t)))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (.f64 t t) t))) (fma.f64 (.f64 (.f64 z z) z) z (.f64 t (-.f64 t (.f64 z z)))) (neg.f64 (.f64 t (/.f64 t (fma.f64 z z t)))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) z) (.f64 (fma.f64 z z t) (-.f64 (.f64 z z) t))) (-.f64 (.f64 z z) t) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t)))))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (neg.f64 t))
(fma.f64 (.f64 (.f64 z z) z) (/.f64 (.f64 (.f64 z z) z) (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 z z t) t))) (neg.f64 (/.f64 (.f64 (.f64 t t) t) (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 z z t) t)))))
(fma.f64 (.f64 (.f64 z z) z) (/.f64 z (fma.f64 z z t)) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t)))))
(fma.f64 #s(literal -1 binary64) t (*.f64 z z))
(fma.f64 (.f64 (.f64 (.f64 z z) z) z) (/.f64 (.f64 z z) (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 z z t) t))) (neg.f64 (/.f64 (.f64 (.f64 t t) t) (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 z z t) t)))))
(fma.f64 (.f64 (.f64 (.f64 z z) z) z) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)) (neg.f64 (.f64 t (/.f64 t (fma.f64 z z t)))))
(fma.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 z z t) t))) (neg.f64 (/.f64 (.f64 (.f64 t t) t) (fma.f64 (.f64 (.f64 z z) z) z (*.f64 (fma.f64 z z t) t)))))
(fma.f64 t #s(literal -1 binary64) (*.f64 z z))
(fma.f64 (.f64 z z) (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 z z t) t))) (neg.f64 (/.f64 (.f64 (.f64 t t) t) (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 z z t) t)))))
(fma.f64 (.f64 z z) (/.f64 (.f64 z z) (fma.f64 z z t)) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t)))))
(fma.f64 z (/.f64 (.f64 (.f64 z z) z) (fma.f64 z z t)) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t)))))
(fma.f64 z z (neg.f64 t))
(-.f64 (fma.f64 z z #s(literal 0 binary64)) t)
(-.f64 #s(literal 0 binary64) (-.f64 t (*.f64 z z)))
(-.f64 (.f64 (.f64 (.f64 z z) z) (/.f64 z (fma.f64 z z t))) (.f64 t (/.f64 t (fma.f64 z z t))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 z z t) t))) (/.f64 (.f64 (.f64 t t) t) (fma.f64 (.f64 (.f64 z z) z) z (*.f64 (fma.f64 z z t) t))))
(-.f64 (*.f64 z z) t)
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) t))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (.f64 z z) z) (/.f64 z (fma.f64 z z t))) (neg.f64 (.f64 t (/.f64 t (fma.f64 z z t)))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (fma.f64 (.f64 (.f64 z z) z) z (.f64 (fma.f64 z z t) t))) (neg.f64 (/.f64 (.f64 (.f64 t t) t) (fma.f64 (.f64 (.f64 z z) z) z (*.f64 (fma.f64 z z t) t)))))
(+.f64 (neg.f64 t) (*.f64 z z))
(+.f64 (*.f64 z z) (neg.f64 t))

eval48.0ms (0.6%)

Memory: 18.7MiB live, 95.6MiB allocated
Compiler: Compiled 14 103 to 878 computations (93.8% saved)

prune50.0ms (0.6%)

Memory

-6.7MiB live, 105.0MiB 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
▶	96.4%	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)))
▶	94.7%	(fma.f64 x x (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
	93.8%	(-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))))
	70.3%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
	68.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 (.f64 z z) y) (*.f64 x x)))
▶	60.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
	32.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t))
▶	42.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
▶	35.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))

Compiler

Compiled 254 to 162 computations (36.2% saved)

simplify66.0ms (0.8%)

Memory

27.5MiB live, 67.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize149.0ms (1.9%)

Memory

10.2MiB live, 155.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
accuracy	0.0078125	(-.f64 (*.f64 z z) t)
accuracy	0.9999889904222409	(fma.f64 x x (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
accuracy	2.6302517764154922	(.f64 (-.f64 (.f64 z z) t) y)
accuracy	0	(neg.f64 t)
accuracy	0.00390625	(.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
accuracy	2.6302517764154922	(*.f64 (fma.f64 z z (neg.f64 t)) y)
accuracy	23.6373276446077	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
accuracy	0	(*.f64 z z)
accuracy	0.014003759768442016	(.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y))
accuracy	4.601636338282299	(.f64 (.f64 z z) y)
accuracy	39.885042361729944	#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	36.863492807784716	#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	0.20312500000000003	(fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))
accuracy	1.8671758027017378	(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

98.0ms

256×

valid

Compiler

Compiled 185 to 30 computations (83.8% saved)

Precisions

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

ival-add: 52.0ms (65.5% of total)

ival-mult: 23.0ms (29% of total)

ival-sub: 2.0ms (2.5% of total)

ival-neg: 1.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

series47.0ms (0.6%)

Memory

-15.0MiB live, 95.0MiB allocated

Counts

19 → 588

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (* z z) y)) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* z z) (neg t)) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (neg t))
3.0ms	x	@	inf	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (* z z) y)) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* z z) (neg t)) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (neg t))
3.0ms	x	@	0	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (* z z) y)) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* z z) (neg t)) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (neg t))
2.0ms	t	@	0	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (* z z) y)) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* z z) (neg t)) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (neg t))
2.0ms	y	@	-inf	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* -4 (* (* z z) y)) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (+ (* z z) (neg t)) y) -4) (* (+ (* z z) (neg t)) y) (+ (* z z) (neg t)) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (neg t))

simplify313.0ms (4%)

Memory

7.1MiB live, 267.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

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

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

rewrite256.0ms (3.2%)

Memory

-2.5MiB live, 306.3MiB allocated

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

19 → 866

Calls

Call 1

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

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

eval308.0ms (3.9%)

Memory: -2.3MiB live, 408.5MiB allocated
Compiler: Compiled 34 634 to 1 573 computations (95.5% saved)

prune245.0ms (3.1%)

Memory

-1.2MiB live, 276.2MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 523	4	1 527
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	1 528	8	1 536

Accuracy

100.0%

Counts

1 536 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.9%	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x)))
▶	70.3%	(fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64))))
▶	34.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t))))
✓	60.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
▶	37.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))
▶	32.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t))
✓	42.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	35.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))

Compiler

Compiled 164 to 106 computations (35.4% saved)

simplify105.0ms (1.3%)

Memory

23.0MiB live, 60.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

2 368×	`lower-fma.f32`
2 362×	`lower-fma.f64`
1 008×	`lower-*.f32`
988×	`lower-*.f64`
376×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	216
0	55	216
1	104	212
2	217	210
3	550	210
4	1112	210
5	1805	210
6	2235	210
7	2449	210
8	2522	210
9	2549	210
10	2562	210
11	2564	210
12	2564	210
0	2564	205

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize127.0ms (1.6%)

Memory

-23.0MiB live, 113.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal -4 binary64))
accuracy	0.4083194122783832	(/.f64 #s(literal 1 binary64) (fma.f64 z z t))
accuracy	2.2915786782265775	(/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)))
accuracy	40.288121212199364	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t))))
accuracy	0	(*.f64 t y)
accuracy	0.016288769536884032	(.f64 (.f64 t y) #s(literal 4 binary64))
accuracy	0.9999889904222409	(fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64))))
accuracy	27.448240188954383	#s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))
accuracy	0	(.f64 z (.f64 y #s(literal -4 binary64)))
accuracy	0	(*.f64 y #s(literal -4 binary64))
accuracy	0.09765625	(.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z)
accuracy	39.885042361729944	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))
accuracy	0	(.f64 (.f64 y #s(literal 4 binary64)) t)
accuracy	0	(*.f64 y #s(literal 4 binary64))
accuracy	43.456561254535224	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t))
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 #s(literal -4 binary64) y)
accuracy	1.8671758027017378	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x)))
accuracy	31.15782611950947	#s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x))

Samples

70.0ms

256×

valid

Compiler

Compiled 178 to 35 computations (80.3% saved)

Precisions

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

ival-mult: 33.0ms (74.5% of total)

ival-add: 4.0ms (9% of total)

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

ival-sub: 2.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.7%)

Memory

3.3MiB live, 109.4MiB allocated

Counts

19 → 564

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x))) (patch (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -4 binary64) y) z) (patch (.f64 (.f64 #s(literal -4 binary64) y) z) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -4 binary64) y) (patch (.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) (patch #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) (patch #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y #s(literal 4 binary64)) t) (patch (.f64 (.f64 y #s(literal 4 binary64)) t) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z)) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z) (patch (.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z) #<representation binary64>) () ())
#s(alt (.f64 z (.f64 y #s(literal -4 binary64))) (patch (.f64 z (.f64 y #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal -4 binary64)) (patch (.f64 y #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) (patch (fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64))) (patch #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 t y) #s(literal 4 binary64)) (patch (.f64 (.f64 t y) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t))) (patch (/.f64 (.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z t)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z t)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<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 #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x))) (patch (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) (taylor 0 t) (#s(alt (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x))) (patch (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) (taylor 0 t) (#s(alt (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x))) (patch (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) (taylor 0 t) (#s(alt (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x))) (patch (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 t) (#s(alt #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) (patch #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* t y)) (pow x 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) (patch #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* t y)) (pow x 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) (patch #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* t y)) (pow x 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) (patch #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) (* 4 (* y (pow z 2)))) (taylor 0 t) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) (patch #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) (taylor 0 t) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) (patch #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) (taylor 0 t) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) (patch #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) (taylor 0 t) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) (patch #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* t y)) (taylor 0 t) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) t) (patch (.f64 (.f64 y #s(literal 4 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 4 (* t y)) (taylor 0 t) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) t) (patch (.f64 (.f64 y #s(literal 4 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 4 (* t y)) (taylor 0 t) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) t) (patch (.f64 (.f64 y #s(literal 4 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 4 (* t y)) (taylor 0 t) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) t) (patch (.f64 (.f64 y #s(literal 4 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) (* 4 (* y (pow z 2)))) (taylor 0 t) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z)) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) (taylor 0 t) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z)) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) (taylor 0 t) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z)) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) (taylor 0 t) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z)) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* y (pow z 2))) (pow x 2)) (taylor 0 t) (#s(alt (fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) (patch (fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) (taylor 0 t) (#s(alt (fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) (patch (fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) (taylor 0 t) (#s(alt (fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) (patch (fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -4 (* y (pow z 2))) (taylor 0 t) (#s(alt #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64))) (patch #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x))) (patch (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x))) (patch (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x))) (patch (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x))) (patch (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) (patch #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) (patch #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) (patch #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) (patch #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#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)) t)) (patch #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) 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)) t)) (patch #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) 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)) t)) (patch #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) 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)) t)) (patch #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z)) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z)) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z)) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z)) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) (patch (fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) (patch (fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) (patch (fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) (patch (fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#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) (fma.f64 z z t)))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)))) #<representation binary64>) () ())) ())
#s(alt (* (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) (fma.f64 z z t)))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)))) #<representation binary64>) () ())) ())
#s(alt (* (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) (fma.f64 z z t)))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)))) #<representation binary64>) () ())) ())
#s(alt (* (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) (fma.f64 z z t)))) (patch #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t)))) #<representation binary64>) () ())) ())
#s(alt (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
4.0ms	t	@	inf	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (* -4 y) z) (* -4 y) (+ (* (* (neg t) y) -4) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) t) (* y 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* z (* y -4)) z) (* z (* y -4)) (* y -4) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (* t y) 4) (* t y) (/ (* y -4) (/ 1 (+ (* z z) t))) (- (* x x) (* (* y 4) (- (* z z) t))) (/ 1 (+ (* z z) t)) (* x x))
2.0ms	y	@	0	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (* -4 y) z) (* -4 y) (+ (* (* (neg t) y) -4) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) t) (* y 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* z (* y -4)) z) (* z (* y -4)) (* y -4) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (* t y) 4) (* t y) (/ (* y -4) (/ 1 (+ (* z z) t))) (- (* x x) (* (* y 4) (- (* z z) t))) (/ 1 (+ (* z z) t)) (* x x))
2.0ms	y	@	inf	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (* -4 y) z) (* -4 y) (+ (* (* (neg t) y) -4) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) t) (* y 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* z (* y -4)) z) (* z (* y -4)) (* y -4) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (* t y) 4) (* t y) (/ (* y -4) (/ 1 (+ (* z z) t))) (- (* x x) (* (* y 4) (- (* z z) t))) (/ 1 (+ (* z z) t)) (* x x))
2.0ms	y	@	-inf	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (* -4 y) z) (* -4 y) (+ (* (* (neg t) y) -4) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) t) (* y 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* z (* y -4)) z) (* z (* y -4)) (* y -4) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (* t y) 4) (* t y) (/ (* y -4) (/ 1 (+ (* z z) t))) (- (* x x) (* (* y 4) (- (* z z) t))) (/ 1 (+ (* z z) t)) (* x x))
2.0ms	z	@	inf	((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (* (* -4 y) z) (* -4 y) (+ (* (* (neg t) y) -4) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) t) (* y 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* z (* y -4)) z) (* z (* y -4)) (* y -4) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (* t y) 4) (* t y) (/ (* y -4) (/ 1 (+ (* z z) t))) (- (* x x) (* (* y 4) (- (* z z) t))) (/ 1 (+ (* z z) t)) (* x x))

simplify223.0ms (2.8%)

Memory

23.8MiB live, 254.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 028×	`lower-fma.f64`
13 028×	`lower-fma.f32`
5 332×	`lower-*.f64`
5 332×	`lower-*.f32`
1 608×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	6166
1	693	5768
2	2062	5394
3	6296	5242
0	8453	4918

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

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

rewrite308.0ms (3.9%)

Memory

-32.7MiB live, 234.8MiB allocated

Rules

5 474×	`lower-fma.f32`
5 468×	`lower-fma.f64`
4 962×	`lower-*.f32`
4 942×	`lower-*.f64`
4 202×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	190
0	55	190
1	182	186
2	1157	184
0	8382	181

Stop Event

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

Counts

19 → 383

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x))) (.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z (.f64 z y))) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z))))
(.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z (.f64 z y))) #s(literal 16 binary64)) (.f64 #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x))))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 (.f64 y y) y) #s(literal -64 binary64))) (.f64 (.f64 z z) z) (.f64 (.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x))) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z (.f64 z y))) #s(literal 16 binary64) (.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) (-.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z)))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z (.f64 z y))) #s(literal 16 binary64)) (.f64 #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x)))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 (.f64 y y) y) #s(literal -64 binary64))) (.f64 (.f64 z z) z) (.f64 (.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x))) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z (.f64 z y))) #s(literal 16 binary64)) (.f64 (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x)))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 (.f64 y y) y) #s(literal -64 binary64))) (.f64 (.f64 z z) z) (.f64 (.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x))) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z (.f64 z y))) #s(literal 16 binary64) (.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) (-.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z))))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z y)) #s(literal -4 binary64) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (*.f64 x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z y)) #s(literal -4 binary64) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z (.f64 z y))) #s(literal 16 binary64)) (-.f64 (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)))) (/.f64 (.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z (.f64 z y))) #s(literal 16 binary64)) (-.f64 (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x))))) (.f64 (/.f64 (.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)))) (/.f64 (.f64 #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z (.f64 z y))) #s(literal 16 binary64)) (-.f64 (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)))) (/.f64 (.f64 #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z (.f64 z y))) #s(literal 16 binary64)) (-.f64 (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z (.f64 z y))) #s(literal 16 binary64)) (-.f64 (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)))) (/.f64 (.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z (.f64 z y))) #s(literal 16 binary64)) (-.f64 (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)))) (fma.f64 (/.f64 (.f64 #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)))) (/.f64 (.f64 #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)))) (.f64 (/.f64 (.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z (.f64 z y))) #s(literal 16 binary64)) (-.f64 (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)))) (/.f64 (.f64 #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x))) (.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z (.f64 z y))) #s(literal 16 binary64)))) (neg.f64 (-.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z (.f64 z y))) #s(literal 16 binary64)) (.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)))))) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z) #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 (.f64 y y) y) #s(literal -64 binary64))) (.f64 (.f64 z z) z) (.f64 (.f64 #s(approx (+ (* (* (neg t) y) -4) (* x x)) (.f64 x x)) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x))) #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z (.f64 z y))) #s(literal 16 binary64) (.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) (-.f64 #s(approx (+ ( (* (neg t) y) -4) (* x x)) (.f64 x x)) (.f64 (.f64 (.f64 y #s(literal -4 binary64)) z) z)))))))
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(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 t t) t))) (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (fma.f64 (.f64 (.f64 z z) z) z (-.f64 (.f64 t t) (.f64 (*.f64 z z) (neg.f64 t))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 t t) t))) (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (fma.f64 (.f64 (.f64 z z) z) z (*.f64 t (fma.f64 z z t)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 z z) z) z) (.f64 (.f64 (.f64 z z) z) z)) (.f64 (.f64 t (-.f64 t (.f64 z z))) (.f64 t (-.f64 t (.f64 z z)))))) (.f64 (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (.f64 t t) t)) (-.f64 (.f64 (.f64 (.f64 z z) z) z) (.f64 t (-.f64 t (*.f64 z z))))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 z z) z) z) (.f64 (.f64 (.f64 z z) z) z)) (.f64 (.f64 (.f64 z z) z) z) (.f64 (.f64 (.f64 t (-.f64 t (.f64 z z))) (.f64 t (-.f64 t (.f64 z z)))) (.f64 t (-.f64 t (.f64 z z)))))) (.f64 (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (.f64 t t) t)) (fma.f64 (.f64 (.f64 (.f64 z z) z) z) (.f64 (.f64 (.f64 z z) z) z) (-.f64 (.f64 (.f64 t (-.f64 t (.f64 z z))) (.f64 t (-.f64 t (.f64 z z)))) (.f64 (.f64 (.f64 (.f64 z z) z) z) (.f64 t (-.f64 t (*.f64 z z))))))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))))) (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (neg.f64 (fma.f64 z z t))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t)))) (.f64 (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (fma.f64 z z t)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t)))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (neg.f64 t))))
(/.f64 (neg.f64 (fma.f64 z z (neg.f64 t))) (neg.f64 (*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 z z) z) z (.f64 t (-.f64 t (.f64 z z))))) (neg.f64 (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (.f64 t t) t))))
(/.f64 (fma.f64 (.f64 (.f64 z z) z) z (.f64 t (-.f64 t (.f64 z z)))) (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (.f64 t t) t)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z t)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 z z t)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z t)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 z z t))
(/.f64 (fma.f64 z z (neg.f64 t)) (*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z t)))
(-.f64 (/.f64 (fma.f64 (.f64 (.f64 z z) z) z (.f64 t t)) (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (.f64 t t) t))) (/.f64 (.f64 (.f64 z z) t) (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z) (.f64 (*.f64 t t) t))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) z) (fma.f64 z z t)) (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t)))) (/.f64 (/.f64 (.f64 t t) (fma.f64 z z t)) (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (fma.f64 (.f64 (.f64 z z) z) z (.f64 t (fma.f64 z z t)))) (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t)))) (/.f64 (/.f64 (.f64 (.f64 t t) t) (fma.f64 (.f64 (.f64 z z) z) z (.f64 t (fma.f64 z z t)))) (*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t)))))
(-.f64 (/.f64 (.f64 z z) (.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t)))) (/.f64 t (*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z z t)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z z t)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval436.0ms (5.5%)

Memory: 13.4MiB live, 244.1MiB allocated
Compiler: Compiled 17 670 to 1 063 computations (94% saved)

prune104.0ms (1.3%)

Memory

5.7MiB live, 243.0MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	976	2	978
Fresh	0	0	0
Picked	1	4	5
Done	0	3	3
Total	977	9	986

Accuracy

100.0%

Counts

986 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.9%	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x)))
✓	70.3%	(fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64))))
▶	35.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (.f64 y #s(literal -4 binary64)) #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
✓	60.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
✓	37.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))
✓	32.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t))
✓	42.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	35.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))
▶	6.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) #s(approx (/ (* y -4) (/ 1 (+ (* z z) t))) (.f64 (.f64 t y) #s(literal -4 binary64))))

Compiler

Compiled 110 to 71 computations (35.5% saved)

simplify182.0ms (2.3%)

Memory

-18.0MiB live, 110.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

2 352×	`lower-fma.f64`
2 352×	`lower-fma.f32`
1 144×	`lower-*.f32`
1 136×	`lower-*.f64`
400×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	135
0	33	135
1	59	131
2	133	131
3	423	131
4	1029	131
5	1774	131
6	2725	131
7	3108	131
8	3202	131
9	3223	131
10	3238	131
11	3259	131
12	3360	131
13	3400	131
14	3400	131
15	3400	131
0	3400	124

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize47.0ms (0.6%)

Memory

-17.4MiB live, 94.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.4903506622783832	(/.f64 #s(literal 1 binary64) (*.f64 z z))
accuracy	2.2915786782265775	(/.f64 (.f64 y #s(literal -4 binary64)) #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
accuracy	33.14095167385972	#s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
accuracy	40.288121212199364	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (.f64 y #s(literal -4 binary64)) #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
accuracy	0	(*.f64 t y)
accuracy	0.016288769536884032	(.f64 (.f64 t y) #s(literal -4 binary64))
accuracy	27.48046304086705	#s(approx (/ (* y -4) (/ 1 (+ (* z z) t))) (.f64 (.f64 t y) #s(literal -4 binary64)))
accuracy	40.288121212199364	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) #s(approx (/ (* y -4) (/ 1 (+ (* z z) t))) (.f64 (.f64 t y) #s(literal -4 binary64))))

Samples

34.0ms

256×

valid

Compiler

Compiled 83 to 22 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 13.0ms (60.6% of total)

ival-div: 5.0ms (23.3% of total)

ival-sub: 2.0ms (9.3% of total)

ival-add: 1.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.3%)

Memory

-7.0MiB live, 39.6MiB allocated

Counts

9 → 264

Calls

Call 1

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

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

Calls

12 calls:

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

simplify170.0ms (2.2%)

Memory

30.5MiB live, 252.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 908×	`lower-fma.f64`
13 908×	`lower-fma.f32`
5 406×	`lower-*.f64`
5 406×	`lower-*.f32`
2 484×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	2778
1	472	2734
2	1365	2576
3	4546	2502
0	8596	2343

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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

rewrite242.0ms (3.1%)

Memory

21.7MiB live, 182.8MiB allocated

Rules

6 694×	`lower-fma.f64`
6 694×	`lower-fma.f32`
6 134×	`lower-*.f32`
6 126×	`lower-*.f64`
3 684×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	125
0	33	125
1	118	113
2	749	113
0	8499	106

Stop Event

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

Counts

9 → 149

Calls

Call 1

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

Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) #s(approx (/ (* y -4) (/ 1 (+ (* z z) t))) (.f64 (.f64 t y) #s(literal -4 binary64))))
#s(approx (/ (* y -4) (/ 1 (+ (* z z) t))) (.f64 (.f64 t y) #s(literal -4 binary64)))
(.f64 (.f64 (neg.f64 t) (neg.f64 y)) #s(literal -4 binary64))
(.f64 (.f64 (neg.f64 t) #s(literal -4 binary64)) (neg.f64 y))
(.f64 (.f64 t (neg.f64 y)) #s(literal 4 binary64))
(.f64 (.f64 (neg.f64 t) y) #s(literal 4 binary64))
(.f64 (.f64 t #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) y))
(.f64 (.f64 (neg.f64 t) #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) y))
(.f64 (.f64 t #s(literal 4 binary64)) (neg.f64 y))
(.f64 (.f64 t #s(literal -4 binary64)) y)
(.f64 (.f64 (neg.f64 t) #s(literal 4 binary64)) y)
(.f64 (.f64 #s(literal -4 binary64) t) y)
(.f64 (neg.f64 y) (.f64 #s(literal -4 binary64) (neg.f64 t)))
(.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) t))
(.f64 (neg.f64 t) (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 t (*.f64 #s(literal 4 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 #s(literal 4 binary64) y) t))
(.f64 (.f64 #s(literal -4 binary64) y) (*.f64 #s(literal 1 binary64) t))
(.f64 (.f64 #s(literal -4 binary64) y) t)
(.f64 (.f64 (*.f64 t y) #s(literal -4 binary64)) #s(literal 1 binary64))
(.f64 (.f64 t y) #s(literal -4 binary64))
(.f64 #s(literal -4 binary64) (.f64 (neg.f64 y) (neg.f64 t)))
(.f64 #s(literal -4 binary64) (.f64 t y))
(.f64 t (.f64 #s(literal -4 binary64) y))
(.f64 (.f64 #s(literal 4 binary64) y) (neg.f64 t))
(.f64 #s(literal 4 binary64) (.f64 (neg.f64 y) t))
(.f64 #s(literal 4 binary64) (.f64 y (neg.f64 t)))
(.f64 y (.f64 t #s(literal -4 binary64)))
(.f64 y (.f64 #s(literal -4 binary64) t))
(/.f64 (.f64 t #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) y)))
(/.f64 (.f64 t (.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) t) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) y)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) y) t) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 t y) #s(literal -4 binary64)) #s(literal 1 binary64))
(/.f64 t (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) y)))
(neg.f64 (.f64 t (.f64 #s(literal 4 binary64) y)))
(neg.f64 (.f64 (.f64 #s(literal 4 binary64) y) t))
(*.f64 t y)
(*.f64 y t)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (.f64 #s(literal -4 binary64) y) #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) (neg.f64 y)) #s(literal 4 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (.f64 z z)))) #s(literal -1 binary64)) (.f64 #s(literal 4 binary64) y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal -4 binary64)) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 4 binary64)) (neg.f64 y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) y) #s(literal -4 binary64))
(.f64 (.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -4 binary64) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(.f64 (pow.f64 (/.f64 #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 #s(literal -4 binary64) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 #s(literal -4 binary64) y)) #s(literal -1/2 binary64)))
(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))))
(.f64 (neg.f64 y) (.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))))
(.f64 (/.f64 #s(literal -4 binary64) #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) y)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (.f64 z z)))) (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 4 binary64) y) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(.f64 (/.f64 (.f64 #s(literal -4 binary64) y) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -4 binary64) y) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(.f64 #s(literal -4 binary64) (.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))))
(.f64 #s(literal -4 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) y))
(.f64 #s(literal -4 binary64) (/.f64 y #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(.f64 (.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(.f64 #s(literal 4 binary64) (.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))))
(.f64 #s(literal 4 binary64) (.f64 y (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))))
(.f64 #s(literal 4 binary64) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(.f64 y (/.f64 #s(literal -4 binary64) #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 #s(literal -4 binary64) y)) #s(literal -1 binary64))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (.f64 z z)))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) y)))
(/.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1/4 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (.f64 z z)))) (.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 #s(literal 4 binary64) y) #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (.f64 z z)))) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) y)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) y)) (neg.f64 #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 #s(literal 4 binary64) y)))
(/.f64 (/.f64 (.f64 #s(literal -4 binary64) y) #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal -4 binary64) y) (.f64 (neg.f64 #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal -4 binary64) y) #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) y)) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 #s(literal -4 binary64) y)))
(/.f64 (.f64 #s(literal 4 binary64) y) (.f64 (neg.f64 #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 4 binary64) y) (.f64 #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 4 binary64) y) (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))))
(/.f64 (.f64 #s(literal 4 binary64) y) (neg.f64 #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 y (.f64 #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1/4 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 #s(literal -4 binary64) y))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (.f64 z z)))) (.f64 #s(literal 4 binary64) y)))
(neg.f64 (/.f64 (.f64 #s(literal 4 binary64) y) #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(-.f64 (/.f64 #s(literal 0 binary64) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (.f64 z z)))) (/.f64 (.f64 #s(literal 4 binary64) y) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (.f64 z z))))) (/.f64 (.f64 #s(literal 4 binary64) y) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 4 binary64) y) #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 #s(literal -4 binary64) y))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 y)) #s(literal -4 binary64))
(*.f64 (neg.f64 (neg.f64 y)) #s(literal -4 binary64))
(*.f64 (neg.f64 y) #s(literal 4 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) y))
(.f64 (.f64 #s(literal -4 binary64) y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 y)))
(*.f64 #s(literal -4 binary64) y)
(.f64 (.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))
(.f64 #s(literal 4 binary64) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (neg.f64 y))
(*.f64 y #s(literal -4 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 16 binary64) (.f64 y y))) (*.f64 #s(literal 4 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 y y) y))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 16 binary64) (.f64 y y) (.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) y))))
(/.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) y)))
(/.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))
(neg.f64 (*.f64 #s(literal 4 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(.f64 #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
#s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal -1 binary64))
(/.f64 #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(neg.f64 (neg.f64 #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 z z)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (*.f64 z z) z) z) #s(literal -1/2 binary64))
(pow.f64 (*.f64 z z) #s(literal -1 binary64))
(pow.f64 z #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z))
(/.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 #s(literal 1 binary64) z) z)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 z)))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z)))
(exp.f64 (neg.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal -1 binary64)))

eval120.0ms (1.5%)

Memory: -43.6MiB live, 93.2MiB allocated
Compiler: Compiled 4 978 to 394 computations (92.1% saved)

prune31.0ms (0.4%)

Memory

7.4MiB live, 46.6MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	413	0	413
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	413	9	422

Accuracy

100.0%

Counts

422 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.9%	(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x)))
✓	70.3%	(fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64))))
✓	35.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (.f64 y #s(literal -4 binary64)) #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
✓	60.5%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
✓	37.6%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))
✓	32.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t))
✓	42.4%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
✓	35.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))
✓	6.1%	#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) #s(approx (/ (* y -4) (/ 1 (+ (* z z) t))) (.f64 (.f64 t y) #s(literal -4 binary64))))

Compiler

Compiled 275 to 118 computations (57.1% saved)

regimes154.0ms (2%)

Memory

-10.1MiB live, 72.1MiB 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))) #s(approx (/ (* y -4) (/ 1 (+ (* z z) t))) (.f64 (.f64 t y) #s(literal -4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 x x #s(approx (* (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 (.f64 z z) y) (*.f64 x x)))
(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x)))
(fma.f64 x x (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (.f64 y #s(literal -4 binary64)) #s(approx (/ 1 (+ ( z z) t)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z t))))
(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x)))
(-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))))

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

Calls

10 calls:

92.0ms	x
20.0ms	(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
5.0ms	(*.f64 y #s(literal 4 binary64))
5.0ms	t
5.0ms	(-.f64 (*.f64 z z) t)

Results

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

Compiler

Compiled 80 to 58 computations (27.5% saved)

regimes20.0ms (0.3%)

Memory

27.3MiB live, 27.3MiB allocated

Counts

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.0%	2	`(*.f64 z z)`
94.7%	1	`y`
94.7%	1	`(*.f64 y #s(literal 4 binary64))`
94.7%	1	`t`

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes105.0ms (1.3%)

Memory

-19.7MiB live, 57.8MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

49.0ms	t
26.0ms	z
4.0ms	(*.f64 y #s(literal 4 binary64))
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
83.1%	4	`y`
83.4%	3	`t`
83.1%	4	`(*.f64 y #s(literal 4 binary64))`
89.8%	2	`x`
89.8%	2	`(*.f64 x x)`
89.7%	2	`(-.f64 (*.f64 z z) t)`
91.4%	3	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
88.0%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
93.9%	2	`z`
93.9%	2	`(*.f64 z z)`

Compiler

Compiled 80 to 58 computations (27.5% saved)

regimes7.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.7%	3	`z`
92.7%	3	`(*.f64 z z)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes40.0ms (0.5%)

Memory

-5.9MiB live, 31.9MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

6 calls:

24.0ms	x
3.0ms	(-.f64 (*.f64 z z) t)
3.0ms	z
3.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
87.2%	2	`(-.f64 (*.f64 z z) t)`
80.8%	2	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
86.6%	2	`x`
86.6%	2	`(*.f64 x x)`
88.7%	2	`z`
88.7%	2	`(*.f64 z z)`

Compiler

Compiled 50 to 35 computations (30% saved)

regimes6.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

3.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
88.7%	2	`z`
88.7%	2	`(*.f64 z z)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes51.0ms (0.6%)

Memory

-1.9MiB live, 42.2MiB 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))) #s(approx (/ (* y -4) (/ 1 (+ (* z z) t))) (.f64 (.f64 t y) #s(literal -4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))

Outputs

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

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

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

Calls

10 calls:

29.0ms	(*.f64 x x)
2.0ms	x
2.0ms	z
2.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))
2.0ms	(*.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
53.4%	3	`y`
53.4%	3	`(*.f64 y #s(literal 4 binary64))`
64.2%	3	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
53.9%	3	`t`
64.7%	3	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
66.3%	3	`x`
66.3%	3	`(*.f64 x x)`
68.9%	3	`(-.f64 (*.f64 z z) t)`
67.1%	4	`z`
67.1%	4	`(*.f64 z z)`

Compiler

Compiled 80 to 58 computations (27.5% saved)

regimes7.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.0%	3	`x`
66.0%	3	`(*.f64 x x)`
66.3%	3	`(-.f64 (*.f64 z z) t)`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes52.0ms (0.7%)

Memory

-22.4MiB live, 17.2MiB 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))) #s(approx (/ (* y -4) (/ 1 (+ (* z z) t))) (*.f64 (*.f64 t y) #s(literal -4 binary64))))

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

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

Calls

5 calls:

45.0ms	(-.f64 (*.f64 z z) t)
2.0ms	x
2.0ms	z
2.0ms	(*.f64 z z)
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
46.5%	3	`z`
46.5%	3	`(*.f64 z z)`
63.4%	2	`x`
63.4%	2	`(*.f64 x x)`
48.9%	2	`(-.f64 (*.f64 z z) t)`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes56.0ms (0.7%)

Memory

-11.2MiB live, 27.7MiB allocated

Accuracy

Total -24.7b remaining (-66.9%)

Threshold costs -24.7b (-66.9%)

Counts

2 → 1

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

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

Calls

10 calls:

42.0ms	z
2.0ms	(*.f64 y #s(literal 4 binary64))
1.0ms	(-.f64 (*.f64 z z) t)
1.0ms	t
1.0ms	x

Results

Accuracy	Segments	Branch
42.4%	1	`(*.f64 z z)`
42.4%	1	`z`
42.4%	1	`(-.f64 (*.f64 z z) t)`
42.4%	1	`y`
42.4%	1	`(*.f64 y #s(literal 4 binary64))`
42.4%	1	`t`
42.4%	1	`(-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (.f64 z z) t)))`
42.4%	1	`(.f64 (.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))`
42.4%	1	`x`
42.4%	1	`(*.f64 x x)`

Compiler

Compiled 80 to 58 computations (27.5% saved)

bsearch5.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	1.4737818368971044e+20	1.0993477718703431e+27

Samples

3.0ms

48×

valid

Compiler

Compiled 134 to 90 computations (32.8% saved)

Precisions

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

ival-mult: 1.0ms (61.2% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.790532942186241e+241	2.9969658810513117e+246

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.437314383809135e+82	6.893940322207656e+84

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4754827054993163e+288	1.6575018047781729e+292
0.0ms	4.437314383809135e+82	6.893940322207656e+84

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.0695527331612413e+268	2.3463447710827572e+269

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.0695527331612413e+268	2.3463447710827572e+269

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.0695527331612413e+268	2.3463447710827572e+269
0.0ms	-4.3524942011587745e+162	-1.219537636443127e+162

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.0695527331612413e+268	2.3463447710827572e+269
0.0ms	-4.3524942011587745e+162	-1.219537636443127e+162

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch12.0ms (0.2%)

Memory

13.9MiB live, 13.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.823514474313312e-59	4.758354515511814e-56

Samples

6.0ms

128×

valid

Compiler

Compiled 164 to 122 computations (25.6% saved)

Precisions

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

ival-mult: 2.0ms (58.4% of total)

ival-sub: 1.0ms (29.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify50.0ms (0.6%)

Memory

-25.0MiB live, 14.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	490
1	97	490
2	105	490
3	110	490
4	113	490
5	114	490

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 t #s(literal 10000000000000000000000 binary64)) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) (fma.f64 x x (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 100000000000000005096102956370027281398552527353113666163096016433067742095641633184190908638890670217606581066817562776141799113274522085911825143802419273576310438824281483144380948014657857618043525615061189227441394677596191250608858071040 binary64)) (fma.f64 x x (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 z z) #s(literal 50000000000000001540333161548262845388512602003821673173044872034706992645665718272 binary64)) (fma.f64 x x #s(approx ( (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 z z) #s(literal 50000000000000001540333161548262845388512602003821673173044872034706992645665718272 binary64)) (fma.f64 x x #s(approx ( (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) (if (<=.f64 (.f64 z z) #s(literal 2000000000000000015260947079150071321029556671023421501560173328879939021272989909222263098271678373027966911110790441791375721089619169999659450521189746542174799252973212292885101977680033834789252899072790417240534025556155575446791828129214239924138966649147955715664277650565909970944 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 (.f64 z z) y) (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))))
(if (<=.f64 (.f64 z z) #s(literal 50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) (fma.f64 x x #s(approx ( (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z)))
(if (<=.f64 (.f64 z z) #s(literal 50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z)))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -3999999999999999751399758552465589865802100637755871941502901263690743435529460009971421987856172243739599918487576852012730108375634597343051959682806205604954112 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -3999999999999999751399758552465589865802100637755871941502901263690743435529460009971421987856172243739599918487576852012730108375634597343051959682806205604954112 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))))
(if (<=.f64 (.f64 x x) #s(literal 8480865910936245/3533694129556768659166595001485837031654967793751237916243212402585239552 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 t #s(literal 10000000000000000000000 binary64)) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) (fma.f64 x x (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))))
(if (<=.f64 t #s(literal 10000000000000000000000 binary64)) (fma.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z (fma.f64 (.f64 (neg.f64 t) y) #s(literal -4 binary64) (.f64 x x))) (fma.f64 x x (.f64 (.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 100000000000000005096102956370027281398552527353113666163096016433067742095641633184190908638890670217606581066817562776141799113274522085911825143802419273576310438824281483144380948014657857618043525615061189227441394677596191250608858071040 binary64)) (fma.f64 x x (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 z z) #s(literal 100000000000000005096102956370027281398552527353113666163096016433067742095641633184190908638890670217606581066817562776141799113274522085911825143802419273576310438824281483144380948014657857618043525615061189227441394677596191250608858071040 binary64)) (fma.f64 x x (.f64 (.f64 (-.f64 (.f64 z z) t) y) #s(literal -4 binary64))) (fma.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 z z) #s(literal 50000000000000001540333161548262845388512602003821673173044872034706992645665718272 binary64)) (fma.f64 x x #s(approx ( (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 z z) #s(literal 50000000000000001540333161548262845388512602003821673173044872034706992645665718272 binary64)) (fma.f64 x x #s(approx ( (* (- (* z z) t) y) -4) (.f64 #s(literal 4 binary64) (.f64 y t)))) (fma.f64 (.f64 z (.f64 y #s(literal -4 binary64))) z #s(approx (+ (* (* (neg t) y) -4) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 z z) #s(literal 50000000000000001540333161548262845388512602003821673173044872034706992645665718272 binary64)) (fma.f64 x x #s(approx ( (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) (if (<=.f64 (.f64 z z) #s(literal 2000000000000000015260947079150071321029556671023421501560173328879939021272989909222263098271678373027966911110790441791375721089619169999659450521189746542174799252973212292885101977680033834789252899072790417240534025556155575446791828129214239924138966649147955715664277650565909970944 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 (.f64 z z) y) (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))))
(if (<=.f64 (.f64 z z) #s(literal 50000000000000001540333161548262845388512602003821673173044872034706992645665718272 binary64)) (fma.f64 x x #s(approx ( (* (- (* z z) t) y) -4) (.f64 #s(literal 4 binary64) (.f64 y t)))) (if (<=.f64 (.f64 z z) #s(literal 2000000000000000015260947079150071321029556671023421501560173328879939021272989909222263098271678373027966911110790441791375721089619169999659450521189746542174799252973212292885101977680033834789252899072790417240534025556155575446791828129214239924138966649147955715664277650565909970944 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 #s(literal -4 binary64) (.f64 (.f64 z z) y) (.f64 x x))) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))))
(if (<=.f64 (.f64 z z) #s(literal 50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) (fma.f64 x x #s(approx ( (* (- (* z z) t) y) -4) (.f64 (.f64 t y) #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z)))
(if (<=.f64 (.f64 z z) #s(literal 50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) (fma.f64 x x #s(approx ( (* (- (* z z) t) y) -4) (.f64 #s(literal 4 binary64) (.f64 y t)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z)))
(if (<=.f64 (.f64 z z) #s(literal 50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 t y) #s(literal 4 binary64) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z)))
(if (<=.f64 (.f64 z z) #s(literal 50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (fma.f64 (.f64 y t) #s(literal 4 binary64) (.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z)))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -3999999999999999751399758552465589865802100637755871941502901263690743435529460009971421987856172243739599918487576852012730108375634597343051959682806205604954112 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -3999999999999999751399758552465589865802100637755871941502901263690743435529460009971421987856172243739599918487576852012730108375634597343051959682806205604954112 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t)) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) z))))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -3999999999999999751399758552465589865802100637755871941502901263690743435529460009971421987856172243739599918487576852012730108375634597343051959682806205604954112 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 y #s(literal 4 binary64)) t)) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 #s(literal -4 binary64) (.f64 (*.f64 z z) y)))))
(if (<=.f64 (-.f64 (.f64 z z) t) #s(literal -3999999999999999751399758552465589865802100637755871941502901263690743435529460009971421987856172243739599918487576852012730108375634597343051959682806205604954112 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t)) (if (<=.f64 (-.f64 (.f64 z z) t) #s(literal 50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 x x)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 (*.f64 z z) y) #s(literal -4 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 8480865910936245/3533694129556768659166595001485837031654967793751237916243212402585239552 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 x x) #s(literal 8480865910936245/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) #s(approx (- ( x x) (* (* y 4) (- (* z z) t))) (.f64 (.f64 #s(literal 4 binary64) y) t)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

soundness1.2s (15.3%)

Memory

5.0MiB live, 725.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	6296
1	495	5666
2	1567	5186
3	5019	5096
0	8408	4849
0	32	168
0	51	172
1	164	161
2	1222	147
0	9435	147
0	81	1355
1	248	1343
2	810	1151
3	3626	1115
4	7081	1115
0	8368	1071
0	11	33
0	17	33
1	56	33
2	422	33
3	5357	33
0	8525	32

Stop Event

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

Compiler

Compiled 709 to 336 computations (52.6% saved)

preprocess295.0ms (3.7%)

Memory

3.9MiB live, 202.1MiB allocated

Remove

(abs x)

(abs z)

Compiler

Compiled 742 to 236 computations (68.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (16.5%)

explain107.0ms (1.4%)

preprocess235.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify106.0ms (1.3%)

localize26.0ms (0.3%)

series16.0ms (0.2%)

simplify170.0ms (2.2%)

rewrite201.0ms (2.5%)

eval48.0ms (0.6%)

prune50.0ms (0.6%)

simplify66.0ms (0.8%)

localize149.0ms (1.9%)

series47.0ms (0.6%)

simplify313.0ms (4%)

rewrite256.0ms (3.2%)

eval308.0ms (3.9%)

prune245.0ms (3.1%)

simplify105.0ms (1.3%)

localize127.0ms (1.6%)

series54.0ms (0.7%)

simplify223.0ms (2.8%)

rewrite308.0ms (3.9%)

eval436.0ms (5.5%)

prune104.0ms (1.3%)

simplify182.0ms (2.3%)

localize47.0ms (0.6%)

series23.0ms (0.3%)

simplify170.0ms (2.2%)

rewrite242.0ms (3.1%)

eval120.0ms (1.5%)

prune31.0ms (0.4%)

regimes154.0ms (2%)

regimes20.0ms (0.3%)

regimes105.0ms (1.3%)

regimes7.0ms (0.1%)

regimes40.0ms (0.5%)

regimes6.0ms (0.1%)

regimes51.0ms (0.6%)

regimes7.0ms (0.1%)

regimes52.0ms (0.7%)

regimes56.0ms (0.7%)

bsearch5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.2%)

simplify50.0ms (0.6%)

soundness1.2s (15.3%)

preprocess295.0ms (3.7%)

end0.0ms (0%)

Profiling